trap-and-drain auger vs auger

trap-and-drain auger and auger both are nouns.

Word	Noun	Adjective	Verb	Adverb
trap-and-drain auger	Yes	No	No	No
auger	Yes	No	No	No

As nouns, auger is a hypernym of trap-and-drain auger; that is, auger is a word with a broader meaning than trap-and-drain auger:

Other hypernyms of trap-and-drain auger include plumber's snake, snake.

trap-and-drain auger (noun)	auger (noun)
a plumber's snake for clearing a trap and drain	hand tool for boring holes
	a long flexible steel coil for dislodging stoppages in curved pipes