Short answer
Some wordings became softer and others plainer, and the English keeps changing. In 1 Corinthians 6:9 the King James Version (KJV) condemns men who are "abusers of themselves with mankind". The Revised Standard Version (RSV) said "homosexuals" in 1946. In 1971 it changed that to "sexual perverts". The New International Version (NIV) said "homosexual offenders" in 1984. A reader could take that to condemn only some acts. In 2011 the NIV changed it to plainer words, "men who have sex with men". Where the KJV says "sodomite", the NIV reads a different meaning altogether, "shrine prostitute". The Hebrew and Greek behind these editions are the same. The English depends on who sits on the committee. Muslims recite the Qur'an's words about the people of Lut (Lot) in the Arabic of revelation, and treat no translation as the Qur'an itself.
Full explanation
What the Bible's own words say
The Law of Moses is the first five books of the Bible. In the King James Version, it forbids a man to lie with a man as with a woman. It sets death as the penalty. Paul was a Christian missionary of the first century. He lists the "effeminate" and "abusers of themselves with mankind" among those who will not inherit the kingdom of God (﷾). Most Christian churches have read these verses this way for centuries.
“Thou shalt not lie with mankind, as with womankind: it is abomination.”
“If a man also lie with mankind, as he lieth with a woman, both of them have committed an abomination: they shall surely be put to death; their blood shall be upon them.”
“Know ye not that the unrighteous shall not inherit the kingdom of God? Be not deceived: neither fornicators, nor idolaters, nor adulterers, nor effeminate, nor abusers of themselves with mankind,”
“Nor thieves, nor covetous, nor drunkards, nor revilers, nor extortioners, shall inherit the kingdom of God.”
One verse, many English words
1 Corinthians 6:9 uses two Greek words that have been put into English in very different ways. The RSV used "homosexuals" in 1946 and "sexual perverts" in 1971. The 1984 NIV said "homosexual offenders". That wording could let a reader think only some offenders were condemned, not the act itself. The 2011 NIV changed the words again and added a footnote. The 2011 wording is plainer than the 1984 one. The Greek did not change between these editions. The committees did.
The Revised Standard Version New Testament of 1946 was the first English Bible to use the word "homosexuals" in this verse. Its second edition of 1971 replaced it with "sexual perverts".
The 1984 New International Version lists "male prostitutes" and "homosexual offenders" among those who will not inherit the kingdom of God. The 2011 edition changed this to "men who have sex with men", with a footnote saying the two Greek words refer to the passive and the active partners in homosexual acts.
“Know ye not that the unrighteous shall not inherit the kingdom of God? Be not deceived: neither fornicators, nor idolaters, nor adulterers, nor effeminate, nor abusers of themselves with mankind,”
The word "sodomite" leaves the NIV
The KJV uses "sodomite" in Deuteronomy 23:17 and "sodomites" in 1 Kings 14:24. The NIV prints "shrine prostitute" and "male shrine prostitutes" instead. The NIV's translators hold that the Hebrew word means a person set apart for a pagan shrine. Either way, the English reader meets a different Bible depending on which committee he trusts.
“There shall be no whore of the daughters of Israel, nor a sodomite of the sons of Israel.”
Where the King James Version has "sodomite" (Deuteronomy 23:17) and "sodomites" (1 Kings 14:24), the New International Version has "shrine prostitute" and "male shrine prostitutes". The Hebrew word, qadesh, comes from the root for "holy" or "set apart".
The Qur'an's words do not move
The Qur'an tells the story of the Prophet Lut (Lot) and his people in plain words. They approached men with desire instead of women, and he called it an indecency no people had done before them. These verses are recited in the Arabic in which they were revealed. Muslims hold that only the Arabic is the Qur'an. An English version is a rendering of its meaning, never scripture itself.
“We also (sent) Lut: He said to his people: "Do ye commit lewdness such as no people in creation (ever) committed before you?”
“"For ye practise your lusts on men in preference to women: ye are indeed a people transgressing beyond bounds."”
“"Of all the creatures in the world, will ye approach males,”
“"And leave those whom Allah has created for you to be your mates? Nay, ye are a people transgressing (all limits)!"”
What the translators say
1 Corinthians 6:9 — First Epistle to the Corinthians, chapter 6, verse 9
The 1984 New International Version lists "male prostitutes" and "homosexual offenders" among those who will not inherit the kingdom of God. The 2011 edition changed this to "men who have sex with men", with a footnote saying the two Greek words refer to the passive and the active partners in homosexual acts.
Cited for
The changes are corrections. Translators found better English for difficult Greek words, and the teaching is the same.
The response
Then for decades readers were given words that the translators themselves later withdrew. The RSV's word stood for 25 years, and the NIV's for decades. A reader of any one edition had no way to know which words would be taken back.
Where it lands — However the changes are explained, the English Bible's words on this subject have been decided and redecided by committees.
Perspectives
Evangelical translators
Translators aim to give the best English for rare Greek and Hebrew words. Changes between editions are attempts to be more accurate. They are not meant to change what the Bible teaches.
The 2011 NIV has a footnote on the two Greek words in 1 Corinthians 6:9. It explains that they refer to both partners in homosexual acts.
Rebuttal
Yes, the 2011 footnote says this, and its wording is plainer than the 1984 one. But the Greek did not change between 1984 and 2011. The committees did.
The NIV reads the Hebrew qadesh as a shrine prostitute. It does so because the word comes from the root for "holy" or "set apart".
Rebuttal
That is how the NIV's translators read the root. The KJV translators read the same Hebrew word as "sodomite". The Hebrew is the same, and the English differs with the committee.
The Islamic perspective
The Law of Moses and the Qur'an agree that the act is forbidden. The English Bible's wording on it has changed from edition to edition, because committees decide it. The Qur'an's wording has never changed. It is kept in the Arabic in which it was revealed.
The RSV changed its word in 1 Corinthians 6:9 from "homosexuals" (1946) to "sexual perverts" (1971).
The NIV changed its wording of the same verse between its 1984 and 2011 editions.
The King James Version prints "sodomite" in Deuteronomy 23:17 and 1 Kings 14:24. The NIV does not use the word at all.
The Qur'an condemns the practice of Lut's people in the Arabic in which it was revealed.