I don’t have any “specifically Catholic” teaching on the end times, although I once took a part of a non-denom course on it which helped me read what the Bible had to say about it, and that is certainly Catholic.
Clearly the study course, while basing its ideas on the Bible, had some apparently man-made conclusions that did not logically follow from the Bible. For example, they were convinced in some sort of 7,000 year history of mankind, where the last 2,000 years were the times after Christ. They based this, very strangely, on the notion that the world was created in seven days, and that was a pattern of sorts for the earthly reign of mankind, combined with “with God a day is like 1,000 years.” They thought the Bible was full of “coded messages” like that, but I was not convinced.
That aside, plus the fact that the rapture is not a Catholic belief, and now I’m wondering what you want to know about the end times.
Nobody knows the time Christ will come again, but there are signs that must be in place before He does. By the time He comes, things will have gotten so terrible that only the intervention of Jesus Christ will keep humans from destroying each other. Many of the things that are taking place in the world are eerily reminiscent of the end times, and if one includes OT prophecy it is interesting how much some of today’s modern weapons of war functionally resemble some of the beasts they mention. It often seems signs of the end times are around us. Children are suing their parents in courts of law, terrorism and wars, and all that.
As far as the prophecy that one will be left standing and the other taken, I don’t see how this translates into a “rapture” where Christ makes kind of a “stealth visit” before His next coming. That doesn’t make sense to me, because when Christ comes the second time we will know it for certain, and I don’t think there’s any support for these types of stealth activities. My personal idea is that this verse emphasizes that group identification will earn nothing in terms of your fate when Christ comes again…
Catholics, as geezerbob mentioned, don’t seem to talk much about the end times. Are there any particular things you wondered about, other than rapture? Most of what I know about rapture I read in a book called “The Rapture Trap” while at Eucharistic adoration, and I only read a couple chapters of that.