travelling bag vs baggage

travelling bag and baggage both are nouns.

Word	Noun	Adjective	Verb	Adverb
travelling bag	Yes	No	No	No
baggage	Yes	No	No	No

As nouns, baggage is a hypernym of travelling bag; that is, baggage is a word with a broader meaning than travelling bag:

Other hypernyms of travelling bag include luggage.

travelling bag (noun)	baggage (noun)
a portable rectangular container for carrying clothes	cases used to carry belongings when traveling
	the portable equipment and supplies of an army
	a worthless or immoral woman