cactus family vs family Cactaceae

cactus family and family Cactaceae both are nouns.

Word	Noun	Adjective	Verb	Adverb
cactus family	Yes	No	No	No
family Cactaceae	Yes	No	No	No

As nouns, cactus family and family Cactaceae are synonyms defined as:

Other synonyms of cactus family include Cactaceae.

cactus family (noun)	family Cactaceae (noun)
constituting the order Opuntiales	constituting the order Opuntiales