OK, here’s more of that passage, including the “abomination” you’re looking for:
Behold, this was the guilt of your sister Sodom: she and her daughters had pride, excess of food, and prosperous ease, but did not aid the poor and needy. They were haughty and did an abomination before me.
So I removed them, when I saw it. Samaria has not committed half your sins. You have committed more abominations than they, and have made your sisters appear righteous by all the abominations that you have committed.
Bear your disgrace, you also, for you have intervened on behalf of your sisters. Because of your sins in which you acted more abominably than they, they are more in the right than you. So be ashamed, you also, and bear your disgrace, for you have made your sisters appear righteous.
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Maybe you’re thinking that “abmonations” are only sexual in nature, and that God doesn’t consider other sins to be “abominations”?
I’m not excusing sexual sin. I’m just saying that this passage appears to say that the sin of Sodom includes more than simply sexual sin.
This is referring to the Levitical holiness code - the only sin called an abomination there is homosexual behavior. No of the other sins recited in this passage from Ezekiel are called abominations.
The book of Jude also also refers to the unnatural sexual desire of Sodom as the reason for its punishment by fire