I was doing the Blacksmithing quest Gearing Redridge and had that quest being tracked. When I created two of the required items the text in quest tracker updated to show I had 2/4 items; when I retrieved two of the same items from my bank the text in quest tracker didn’t update and remained 2/4 instead of the expected 4/4.
I’m using blacksmith quest as example but I’m sure I’ve noticed this on other “turn-in” quests.