burgeon forth vs sprout

burgeon forth is not a noun while sprout is a noun.

Word	Noun	Adjective	Verb	Adverb
burgeon forth	No	No	Yes	No
sprout	Yes	No	Yes	No

As verbs, burgeon forth and sprout are synonyms defined as:

Other synonyms of burgeon forth include bourgeon, germinate, pullulate, shoot, spud.

burgeon forth (noun)	sprout (noun)
	a newly grown bud (especially from a germinating seed)
	any new growth of a plant such as a new branch or a bud

burgeon forth (verb)	sprout (verb)
produce buds, branches, or germinate	put forth and grow sprouts or shoots
	produce buds, branches, or germinate