abomination vs evildoing

abomination and evildoing both are nouns.

Word	Noun	Adjective	Verb	Adverb
abomination	Yes	No	No	No
evildoing	Yes	No	No	No

As nouns, evildoing is a hypernym of abomination; that is, evildoing is a word with a broader meaning than abomination:

abomination: an action that is vicious or vile; an action that arouses disgust or abhorrence
evildoing: the act of transgressing; the violation of a law or a duty or moral principle

Other hypernyms of abomination include transgression.

abomination (noun)	evildoing (noun)
an action that is vicious or vile; an action that arouses disgust or abhorrence	the act of transgressing; the violation of a law or a duty or moral principle
hate coupled with disgust
a person who is loathsome or disgusting