Meaning of “finish sth off” - Learner’s Dictionary

finish sth off

phrasal verb with finish uk us /ˈfɪnɪʃ/ verb
COMPLETE

B2 to complete the last part of something that you are doing:

I have to finish off this report by Friday.
EAT/DRINK

to eat, drink, or use the last part of something:

Would you like to finish off the pizza?

(Definition of “finish sth off” from the Cambridge Learner’s Dictionary © Cambridge University Press)