The relevant portion of the text is very simple. It reads:
We ask the Human Rights Council to request a universal abolition of the so-called "crime of homosexuality", of all "sodomy laws", and laws against so-called "unnatural acts" in all the countries where they still exist.
What it means is: stop killing and imprisoning people for consensual sex acts.
Nothing complicated or objectionable, unless you're the pope, in which case it's the beginning of a slide in to damnation. Then you're afraid that this would:
"add new categories of those protected from discrimination"
Yes. That's the whole point. We want to stop discrimination - especially the kind where you kill someone for being different. We hate to have to drag you all the way up to the middle of the 20th century, but the whole world is moving toward "not killing people for being different."
Also, this resolution:
could lead to the decline of heterosexual marriage
Yes, that's the whole point. We want to stop having sham heterosexual marriages because one of the partners is entering it under duress to cover up for the "crime" of having homosexual tendencies. Those are the only marriages that could cause a "decline". Is that what you're worried about? People around the world won't be making themselves miserable in order to follow your doctrine?
Now we come to the bait and switch. Now the Vatican, the pope and their spokesman, will outright lie and attribute to the resolution things which are plainly not in it.
... states which do not recognize same-sex unions as 'matrimony' will be pilloried and made an object of pressure
Read the resolution. Where does it say this? All that is says is stop treating gays like criminals. It's not a long resolution. It's not like you could have misread something.
No, pope, you are your followers are just lying. But that's nothing special for your bunch, is it? Why don't you just go back to shuffling around the pedophiles you shelter, nurture and create? That's about your level.
There is nothing in this resolution that would harm anyone with more than two brain cells to rub together. The only ones harmed are those who will have to deal with the fact that homosexuals exist and that the rest of us are no longer able to pretend they don't exist by having them jailed or killed.
As for the rest, it's typical right wing fear mongering, trying to convince you that a law or resolution against discrimination is somehow going to force gay marriages upon their churches or anal sex upon their sons.
h/t to Canuck Attitude.