featherbed vs engage

featherbed is a noun but engage is not a noun.

Word	Noun	Adjective	Verb	Adverb
featherbed	Yes	No	Yes	No
engage	No	No	Yes	No

As verbs, engage is a hypernym of featherbed; that is, engage is a word with a broader meaning than featherbed:

Other hypernyms of featherbed include employ, hire.

featherbed (noun)	engage (noun)
a mattress stuffed with feathers

featherbed (verb)	engage (verb)
hire more workers than are necessary	get caught
treat with excessive indulgence	consume all of one's attention or time
	give to in marriage
	keep engaged
	engage for service under a term of contract
	hire for work or assistance
	ask to represent; of legal counsel
	engage or hire for work
	carry out or participate in an activity; be involved in
	carry on (wars, battles, or campaigns)