modal auxiliary verb vs modal auxiliary

modal auxiliary verb and modal auxiliary both are nouns.

Word	Noun	Adjective	Verb	Adverb
modal auxiliary verb	Yes	No	No	No
modal auxiliary	Yes	No	No	No

As nouns, modal auxiliary verb and modal auxiliary are synonyms defined as:

modal auxiliary verb and modal auxiliary: an auxiliary verb (such as `can' or `will') that is used to express modality

Other synonyms of modal auxiliary verb include modal, modal verb.

modal auxiliary verb (noun)	modal auxiliary (noun)
an auxiliary verb (such as `can' or `will') that is used to express modality	an auxiliary verb (such as `can' or `will') that is used to express modality