Are they getting Aid? They need Aid to produce troops
And you sure the Knight's Pavilion are in your current Age?
I think Ember is onto the likely issue, my Governor's villas are often not aided nowadays, and knights pavilion are relatively low on the Aid priority list too. If you have a lot of other 1x1 buildings taking up most of the aids to your city, Gov villas and knights pavilion won't produce troops if they have not been motivated by Aid. I have to use a lot of self-aid kits or mass self-aid these days.
Donkey enclosures have a high priority in the aid list, mine usually get aided without my having to use kits.
@Double335 the point being, we have completed recurring quests with all the buildings you mention, it's not they don't work for troops quests, they're either missing Aid motivation (likely) or not in the current age (you already said it wasn't the age/era issue.)