Liverpool manager Jurgen Klopp, speaking to BBC Sport: "It is [tough to take] but we conceded this early goal which was completely unnecessary and have to defend it better.
"We had to chase the game and did it well creative-wise. We created some chances in the first half and even more in the second half but we did not finish our situations off.
"We made one mistake in the first half and they used it.
"I don't like to talk today about the good stuff because we lose the game and we feel that deeply. I have to use it tomorrow and it is our lifeline to keep going.
"We have to improve on the finishing stuff and then we will win football games."
Everton boss Carlo Ancelotti, speaking to BBC Sport: "We are really happy, really pleased. After a long time Everton are able to win at Anfield, it is a good gift for our supporters. The performance was good. We were focused, worked hard and when we had the opportunities we were clinical.
"We have three points. The derby is a special game as we said before but we have to catch three points at home too. It [our form] is not good enough at home."