genus Kakatoe vs bird genus

genus Kakatoe and bird genus both are nouns.

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

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

genus Kakatoe: a genus of Psittacidae containing the cockatoos, found from the Philippines and Wallacea east to the Solomon Islands and south to Australia (Kakatoe, Cacatua)
bird genus: a genus of birds

genus Kakatoe (noun)	bird genus (noun)
a genus of Psittacidae containing the cockatoos, found from the Philippines and Wallacea east to the Solomon Islands and south to Australia (Kakatoe, Cacatua)	a genus of birds