Objection over final Soviet province (6)
I believe the answer is:
oblast
'soviet province' is the definition.
'oblast' can be an answer for 'province' (thesaurus). I am unsure of the 'soviet' bit.
'objection over final' is the wordplay.
'objection over' becomes 'ob' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'final' becomes 'last' (synonyms).
'ob'+'last'='OBLAST'
Can you help me to learn more?
(Other definitions for oblast that I've seen before include "Russian district" , "Part of Soviet Union" , "Russian division" .)