baba au rhum vs baba

baba au rhum and baba both are nouns.

Word	Noun	Adjective	Verb	Adverb
baba au rhum	Yes	No	No	No
baba	Yes	No	No	No

As nouns, baba is a hypernym of baba au rhum; that is, baba is a word with a broader meaning than baba au rhum:

baba au rhum (noun)	baba (noun)
a baba soaked in rum	a small cake leavened with yeast