did trolls have to give a bucket from BOTH a matesprit and kismesis in order to avoid being killed or just one? could they make two buckets from one quadrant and just lie to say it was from the other?

Both. As seen on this page the drone is carrying two Filial Pails, one for flushed and one for black. I’m not sure if the two buckets from one union would work since we don’t have a lot of detail on troll reproduction.