I wonder whether "pau" really means "fully cooked" or "eaten up" here. My "finished" would be equally ambiguous.
Pau usually means completed, gone, or dead. If I were saying that the sausage was cooked and ready to be consumed, I'd probably say "Makaukau ka na'aukake" -- the sausage is ready (with a kahako-line- above the first a in Makaukau)
I thought pau meant finished, all gone in this context.