genus Falco vs bird genus

genus Falco and bird genus both are nouns.

Word	Noun	Adjective	Verb	Adverb
genus Falco	Yes	No	No	No
bird genus	Yes	No	No	No

As nouns, bird genus is a hypernym of genus Falco; that is, bird genus is a word with a broader meaning than genus Falco:

genus Falco (noun)	bird genus (noun)
a genus of Falconidae, containing the true falcons (Falco)	a genus of birds