unworthiness vs badness

unworthiness and badness both are nouns.

Word	Noun	Adjective	Verb	Adverb
unworthiness	Yes	No	No	No
badness	Yes	No	No	No

As nouns, badness is a hypernym of unworthiness; that is, badness is a word with a broader meaning than unworthiness:

unworthiness: the quality or state of lacking merit or value
badness: that which is below standard or expectations as of ethics or decency

Other hypernyms of unworthiness include bad.

unworthiness (noun)	badness (noun)
the quality or state of lacking merit or value	that which is below standard or expectations as of ethics or decency
the quality of being not particularly suitable or befitting	used of the degree of something undesirable e.g. pain or weather
	an attribute of mischievous children