push forward vs barge

push forward is not a noun while barge is a noun.

Word	Noun	Adjective	Verb	Adverb
push forward	No	No	Yes	No
barge	Yes	No	Yes	No

As verbs, push forward and barge are synonyms defined as:

Other synonyms of push forward include thrust ahead.

push forward (noun)	barge (noun)
	a flatbottom boat for carrying heavy loads (especially on canals)

push forward (verb)	barge (verb)
push one's way	push one's way
	transport by barge on a body of water