dog's dinner vs mess

dog's dinner and mess both are nouns.

Word	Noun	Adjective	Verb	Adverb
dog's dinner	Yes	No	No	No
mess	Yes	No	Yes	No

As nouns, mess is a hypernym of dog's dinner; that is, mess is a word with a broader meaning than dog's dinner:

Other hypernyms of dog's dinner include fix, hole, jam, kettle of fish, muddle, pickle.

dog's dinner (noun)	mess (noun)
a poor job; a mess	a (large) military dining room where service personnel eat or relax
	a meal eaten in a mess hall by service personnel
	soft semiliquid food
	(often followed by `of') a large number or amount or extent
	a state of confusion and disorderliness
	informal terms for a difficult situation

dog's dinner (verb)	mess (verb)
	make a mess of or create disorder in
	eat in a mess hall