literary genre vs verse

literary genre and verse both are nouns.

Word	Noun	Adjective	Verb	Adverb
literary genre	Yes	No	No	No
verse	Yes	No	Yes	No

As nouns, verse is a hyponym of literary genre; that is, verse is a word with a more specific, narrower meaning than literary genre:

Other hyponyms of literary genre include drama, prose, form, poesy, poetry, satire, steampunk.

literary genre (noun)	verse (noun)
a style of expressing yourself in writing	a piece of poetry
	a line of metrical text
	literature in metrical form

literary genre (verb)	verse (verb)
	familiarize through thorough study or experience
	compose verses or put into verse