offensive vs push back

offensive and push back both are nouns.

Word	Noun	Adjective	Verb	Adverb
offensive	Yes	Yes	No	No
push back	Yes	No	Yes	No

As nouns, push back is a hyponym of offensive; that is, push back is a word with a more specific, narrower meaning than offensive:

Other hyponyms of offensive include counteroffensive, dirty war, rollback.

offensive (noun)	push back (noun)
the action of attacking an enemy	the act of forcing the enemy to withdraw

offensive (adjective)	push back (adjective)
unpleasant or disgusting especially to the senses
causing anger or annoyance
for the purpose of attack rather than defense
morally offensive
violating or tending to violate or offend against
causing or able to cause nausea

offensive (verb)	push back (verb)
	cause to move back by force or influence