go on vs move on

go on and move on both are verbs.

Word	Noun	Adjective	Verb	Adverb
go on	No	No	Yes	No
move on	No	No	Yes	No

As verbs, go on and move on are synonyms defined as:

Other synonyms of go on include advance, march on, pass on, progress.

go on (verb)	move on (verb)
come to pass	move forward, also in the metaphorical sense
continue talking
start running, functioning, or operating
move forward, also in the metaphorical sense
continue a certain state, condition, or activity