originate vs come forth

originate and come forth both are verbs.

Word	Noun	Adjective	Verb	Adverb
originate	No	No	Yes	No
come forth	No	No	Yes	No

As verbs, come forth is a hyponym of originate; that is, come forth is a word with a more specific, narrower meaning than originate:

Other hyponyms of originate include resurge, emerge, come, follow, swell, well up, head.

originate (verb)	come forth (verb)
bring into being	come out of
come into existence; take on form or shape	happen or occur as a result of something
begin a trip at a certain point, as of a plane, train, bus, etc.