"We said at half-time the most important thing was to win the game. We started well, then lost our shape a bit in the first half because of that: we thought we could play 'Roy of the Rovers' football and make the goal difference up. But tonight was about winning the game. When we had the structure and discipline to our game, we scored goals and created chances. But we didn't manage the game.
"At 3-0 we gave them a sniff, and they have some good players who can punish you. This is something we'll improve on for next season. We got better this season from last season, and we need to get better again next year."
Rodgers described the three goals as "that crazy spell". He said: "We know we need to be better in that area. We've improved a lot in many aspects of our game. That'll be an area people will look at, and nobody more than myself. But tonight was just about dealing with the situation, with 12 minutes to go and you need that calmness and control to see the game through, and we didn't manage it. The players were so good up to that point."
Palace manager Tony Pulis praised his players who seemed determined to deny Liverpool the victory they needed. He said: "We've played some exciting football. Jason Puncheon has not been well all week but looked tired. Yannick Bolasie looked off it for a bit, but you think he's run out of legs, and then he finds a balloon of air from somewhere and he's up and running again. [Dwight] Gayle has been unlucky this year. Bringing Glenn Murray on with him, Murray took pressure off him.
"It's been a remarkable season for the club. We'll finish 11th in the Premier League when we were six or seven off safety after 11 games. It's been a remarkable turnaround. The players deserve so much credit for their attitude and commitment, for six or seven months."