This may not be the kind of thing that you're looking for, but there have been several military operations named after Gomorrah. Operation Gomorrah in WWII and an IDF operation in 1956 are two examples.

The reason for there being more references to Sodom is that even though the story in Genesis tells of both cities being destroyed, the events take place specifically in Sodom and Gomorrah is only briefly mentioned. The Talmud and Christian texts almost exclusively talk about Sodom and not Gomorrah.

Sodom (and not Gomorrah) is referred to when discussing sexual immorality in various places in the Bible. For example, Ezekiel 16:49-50 —

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.

And Enoch 2, 10:3 —

And those men said to me: This place, O Enoch, is prepared for those who dishonour God, who on earth practise sin against nature, which is child-corruption after the sodomitic fashion, magic-making, enchantments and devilish witchcrafts, and who boast of their wicked deeds, stealing, lies, calumnies, envy, rancour, fornication, murder, and who, accursed, steal the souls of men, who, seeing the poor take away their goods and themselves wax rich, injuring them for other men's goods; who being able to satisfy the empty, made the hungering to die; being able to clothe, stripped the naked; and who knew not their creator, and bowed down to soulless (sc. lifeless) Gods, who cannot see nor hear, vain gods, who also built hewn images and bow down to unclean handiwork, for all these is prepared this place amongst these, for eternal inheritance.