Sure I can. I did it earlier - the objective criteria used when prohibiting this activity is "how are people genuinely harmed by the activity?" Not "offended," but harmed. Violence harms a person. So does theft and rape. These crimes all involve tangible harm to a person or that person's property. That's an objective criteria.
Now, if you could kindly provide citations of your claim, as well as the section of the Constitution that authorizes the government to involve itself in private relationships between consenting adults on their own property, I'd be in your debt.
That is quite subjective.
Some believe that people are genuinely harmed by taking part in sin, while others don't believe in sin.
Some believe that people engaging in unnecessarily risky behaviors (e.g. homosexual sex) are harming themselves. Others think it is perfectly okay as long as they are only harming themselves.
Some believe that allowing people to engage in perversion affects all of society, so such behavior should not be permitted. Other people believe that what one individual does to themselves (or with a consenting partner) has no impact on society.
So you see, your 'objective' criteria is not so objective.