handbag vs evening bag

handbag and evening bag both are nouns.

Word	Noun	Adjective	Verb	Adverb
handbag	Yes	No	No	No
evening bag	Yes	No	No	No

As nouns, evening bag is a hyponym of handbag; that is, evening bag is a word with a more specific, narrower meaning than handbag:

handbag: a container used for carrying money and small personal items or accessories (especially by women)
evening bag: a handbag used with evening wear

Other hyponyms of handbag include clutch, clutch bag, etui, reticule, shoulder bag.

handbag (noun)	evening bag (noun)
a container used for carrying money and small personal items or accessories (especially by women)	a handbag used with evening wear