"I'm angry and the players know I'm disappointed," Moyes said.
"In the main we were very good but for a couple of really silly mistakes. We offered a threat, as did they. The performance was good but it's tarnished by a couple of mistakes.
Liverpool manager Jurgen Klopp to BBC Sport: "We changed the system two or three times, we calmed it down. We had incredible chances in the first half and then at the end it was a magic moment from Bobby.
"We are in a situation when I have to think, think, think," said Mourinho.
"I look to bench and we don't have attacking players. I had to take off Erik Lamela because of fatigue but we showed an incredible reaction to score a second goal.
Manchester United manager Ole Gunnar Solskjaer, talking to BBC Match of the Day: "There are loads of thoughts going through my mind. At one point it felt like we were creating openings and didn't take them.
Southampton manager Ralph Hasenhuttl:
"As everybody sees, we had a good first half and a not-so-good second half.
"The opponent showed how you can turn the table with a few lucky moments, and I think we had a chance to score the third goal, when we were a little bit unlucky with the Long header on to the post.
West Ham manager David Moyes, speaking to BBC Match of the Day: "I think every point is important in this league. I thought we created one or two good chances but I thought it was even between the two sides.
Roy Hodgson's side needed a cutting edge too, of course, and they got it from Tosun, who has joined on loan from Everton.
The Turkey striker marked his first start for the club with a fine finish to give Palace the lead with their first effort at goal, and he tested Ederson again after the break.
Newcastle head coach Steve Bruce, speaking to BBC Match of the Day: "I can't fault my players for the way we defended. The big thing we need to do better is look after the ball and cause more of a threat.