Sorry for the delay here. This question in particular has been asked and debated on the forums since the worgen were first introduced over a decade ago, and continues to be a subject of debate. The community developer “Lore” included an answer in a forum post, but his answer is vague and nonsensical not because of his answer, but the reason behind it.
The Chadster @killermonkey78: Can worgen reproduce naturally or only through a bite or blood? Would their child be a worgen or normal?
CDev Response: The worgen curse is exactly that: a curse. Its origins are rooted in the druidic “pack form” that was later altered by the Scythe of Elune. The end result is the worgen we see today, beings that can transmit their affliction to others via a single bite.
In theory, if two worgen were to mate and produce an offspring, that offspring would not be a worgen. The child would merely possess the genetic material of his or her parents, like any other child sans the curse.
On the Origin of Races: Worgen Reproduction 
The heretical or genetic nature of the curse comes up on the lore forums every several months, and it’s always the same. Some people say it should, others say it shouldn’t. Some accept the CDev response, others - like myself - have lore to refute it.
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Curses Make Races
“It is not hereditary, because it is just a curse” is the reason provided. That reason is not only unsuitable, but counter productive. In fact, many of the races we see in World of Warcraft originated from curses. A few prime examples include the Curse of Flesh, Curse of the Sporemounds, and the Curse of Sethe. Each afflicted select races, turning them into the races of today which produce offspring of their kind. I provide a much longer and detailed list in the post below from 2017.
https://us.battle.net/forums/en/wow/topic/20754416049?page=1#post-6
Races born from Curses Magical Change
The Tauren, turning to Highmountain Tauren.
These Tauren were given magical change (Blessing or Curse, that is up to you to decide) by the Wild God Cenarius. This is a Magical Change, yet it can be passed to the offspring, and their spirits possess this trait as well. These Highmountain Tauren do not birth Mulgore Tauren, nor do Mulgore Tauren birth Yaungol.
http://wow.gamepedia.com/Highmountain_tauren
http://wow.gamepedia.com/Horns_of_Eche%27roThe Titanforged Races (Earthen, Vrykul, Mechagnome, Tol’vir, Mogu, etc)
These Seeded Races were magically afflicted by what we call “The Curse/Blessing of Flesh”, being Shadow in Origin. The Humans etc, although cursed with this, do no birth non-“afflicted” offspring such as Stone Vrykul. The Dwarves do not birth Earthen, and the Gnomes do not birth Mechagnomes. Each of these races, when they die, have the souls of their race, not the souls of the race that came before them. The Curse of Flesh is exactly that; a curse.
http://wow.gamepedia.com/Curse_of_FleshFrom Azeroth Elementals, to Drakes, to Dragonflights.
It is known that before the dragons, there were the Proto-Drakes. These beasts are Elemental in origin, becoming as fleshy creatures. Ysera, for example, was once a Fire Drake. When she was a fire drake, she did not birth fire elementals. She birthed Fire Drakes. When she was Blessed (or cursed) by the Arcane effects of the Titans, she became as a Green Dragon. As such, her clutches were not Fire Drakes: they were Green Dragons. When dead, these Green Dragons are shown as the spirits of Green Dragons (as seen in the Nightmare raid), not Fire Drakes.
http://wow.gamepedia.com/Proto-dragon
http://wow.gamepedia.com/DragonThe Draenor Breakers, turning into the Ogre and Orcs.
In Chronicle 2, we are shown the origin of the Ogres and the Orcs. Just like the Dragons, they were elemental in origin. However, they did not stay as such. Essentially, a curse (or blessing) was placed on them from the sporemounds (the Plantlife they fought) and they became as flesh. Obviously, the Orcs do not birth Ogre, the Ogre do not birth Ogron, and the Ogron do not birth elementals. Quite the opposite, in fact. Again, the souls of these dead races (as seen in Warlords of Draenor) are of their race.
http://wow.gamepedia.com/Orc
http://wow.gamepedia.com/BreakersThe Brown Orcs, turning into Fel (Green) Orcs.
Before the arrival of the Burning Legion on Draenor, the Orcs were not green. Instead, they were earthy tones such as greys, tans, and browns. When the curse (or blessing) provided by Mannoroth’s Blood was introduced to the race, they became green (among other side effects). This is not only passed on from a pair of Green Orcs to their children, but also otherwise effected Orcs to their children (as seen with Thrall and his parents). Green Orcs do not birth Tan Orcs and, again, these Green Orcs we see today have - you guessed it - the souls of Green Orcs. The Fel Curse is exactly that: A Curse.
http://wow.gamepedia.com/Mag%27har_orc
http://wow.gamepedia.com/Blood-curseThe Trolls, turning into Elves.
It was confirmed in Chronicle 1 that Kaldorei did indeed come from Trolls, who lived near to the Well of Eternity. With the effects of its Arcane power radiating to them, they eventually came to be the Kaldorei (and Queldorei) we see today, much different than their ancestors. Again, Kaldorei do not birth Troll children, nor do they have the souls of Trolls.
http://wow.gamepedia.com/Night_elf
http://wow.gamepedia.com/Troll
http://wow.gamepedia.com/Dark_trollElves turning into Naga.
The family tree doesn’t stop at Trolls, Kaldorei, and Queldorei. It continues even further, especially when the Highborn were cursed (or blessed) to become something else entirely: The Naga. These creatures were once elves, with elven souls and offspring. Now, as shown in Azshara, they lay Naga eggs, rather than birthing Elven offspring. The Naga Curse is exactly that: A Curse.
http://wow.gamepedia.com/Naga
http://www.wowhead.com/npc=38412/naga-hatchlingElves turning into Fal’dorei.
Much like the Naga, some Nightborn (as an unexpected outcome of the Arcandor Tree) came to find themselves as Fal’dorei: Half spider, half elf. As seen in Falanaar, these creatures - even though they were once Nightborn - do not birth Nightborn Children. Instead, they lay eggs much like the Naga or Dragons, which hatch to become Fal’dorei.
http://wow.gamepedia.com/Fal%27dorei
http://wow.gamepedia.com/Fal%27dorei_EggIn “Conclusion”, the Worgen…
Worgen were once Human (or Kaldorei), but are now Worgen. Neither Man nor Beast. This occurred through a magical curse, turning them into something else than they were originally, much like all the examples above. This is described as a magical affliction (A Curse or a Blessing, depending on who you ask), just as all those above are. The fact of the matter is that “The Worgen Curse is exactly that: A Curse” means that, based on how such Curses work in the World of Warcraft, the Worgen Curse IS able to be passed to one’s young.
We have multiple sources referring to the Worgen Body as a Worgen’s True Form. This is supported in the Novel and both comics. The change is permanent, and cannot be removed. This is further supported by the fact that - just as the races above - dead Worgen do not appear with Human Souls: They appear with Worgen souls.
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Not just a druid form
The worgen curse may have originated from druidic magics, but it is no longer a druid form. Cenarius himself says this in Curse of the Worgen issue 4. “This new form Malfurion… Ralaar has perverted our ways. This form is beyond druidism. I do not believe that which has been done can be undone.”
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Worgen form is their new body
Believe it or not, a worgen’s body is physically and genetically worgen, not a human in a druid form. In the game, Curse of the Worgen, and Dark Riders, worgen remain worgen when slain, whereas druids when slain return to elf form. This isn’t just a mechanic either; Jarod Shadowsong sees a worgen cut in half in the novel Wolfheart, and finds it curious that it did not return to human form when slain. In addition, we see several worgen spirits in both events like Day of the Dead and in instances such as Shadowfang Keep, meaning the worgen curse has turned even their soul into a worgen.
- Lil Bad Wolf
“The oft-forgotten offspring of the Big Bad Wolf, found gorged and asleep in a basket of sweets.”
oft-forgotten offspring of the Big Bad Wolf
offspring of the Big Bad Wolf
offspring
https://www.wowhead.com/npc=71014/lil-bad-wolf
My unpopular opinion is that World of Warcraft lore supports that worgen would produce worgen offspring. When it came to my character and his wife, we decided they would have human children, then give them the curse through bite or blood. But after months of thought and study, we decided to have them born as worgen children. One of the kids has survived the roleplay campaigns to this day, and I use the child worgen battlepet present in the game to this day. Ultimately it is your decision, though the bulk of the community believes the CDev response is the diehard truth.
Bacons to you! Thanks for asking the hard questions >:D 