Ryan has acquiesced to his Freedom Caucus to allow more amendments than Boehner.
That means both parties get amendments.
Though Ryan only blamed DEMs in the OP link .
Actually, Ryan told everyone that if he accepted the Speaker's position that he would stick to Regular Order, to give the minority and everyone else the ability to add amendments when a bill makes it out of committee and reaches the floor of the House. That's something the Democrats raised hell about not happening under Boehner, and the Republicans raised hell about not happening under Pelosi.
Ryan is keeping his word, and allowing the US House of Representatives to operate the way it's supposed to operate - in the full light for everyone to see, the good, the bad, and the ugly.
The bill that the OP story is lambasting the Republicans over, passed the House with like 42 or 43 Republican votes and most of the Democrats (I believe a few voted against it, but I can't remember without looking it up, and it's just too late for me to do that right now).
The problem with the first vote, was that under Regular Order, anyone can bring an Amendment to a Bill up for a vote immediately, without notice to the other members, once a bill is on the floor of the House. The Amendment in question here was offered on the floor and voted on immediately, with no one on either side having a chance to read it - so... of course the Republicans voted it down being that 1) it was an "LGBT Rights" Amendment and the average GOP Congresscritter ain't gonna vote in favor of anything LGBT without reading it, and 2) well, regardless of the subject matter, they didn't know it said and it was being offered by a Democrat.
After the Amendment was Amended with superfluous language that stated that the 1st Amendment protections for religious groups and organizations was still in place, the Amendment and the Bill as a whole passed.
As for the Congressman that gave the speech before the prayer at the caucus meeting, he really screwed up when he told those that voted in favor of the bill that they would be going to hell. All of the GOP leadership (including my Congressman) voted in favor of both the Amendment and the Bill. That guy is now on the list that isn't the one that leads to getting support from the House Leadership.
I had lunch with my Congressman in Friday, and we discussed this Amendment to this Bill in depth.