dog grass vs wheat-grass

dog grass and wheat-grass both are nouns.

Word	Noun	Adjective	Verb	Adverb
dog grass	Yes	No	No	No
wheat-grass	Yes	No	No	No

As nouns, wheat-grass is a hypernym of dog grass; that is, wheat-grass is a word with a broader meaning than dog grass:

dog grass: European grass spreading rapidly by creeping rhizomes; naturalized in North America as a weed
wheat-grass: a grass of the genus Agropyron

Other hypernyms of dog grass include wheatgrass.

dog grass (noun)	wheat-grass (noun)
European grass spreading rapidly by creeping rhizomes; naturalized in North America as a weed	a grass of the genus Agropyron