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After being criticised for conceding a shot from outside the box during the win against Brighton on Monday, the 25-year-old was the subject of much ridicule on social mediaon Sundayfollowing his error against Jurgen Klopp's team.
It was not the home side's only misfortune in the defeat to the reigning Premier League champions, however, as they were reduced to 10 men just before half-time as Andreas Christensen was sent off and then midfielder Jorginho missed a penalty in the 75th minute.
Lampard admitted there were many decisive moments for his side and feels the result could have gone a different way.
"Big mistake. Clear mistake and when you reflect on the half without the mistake and the penalty we draw the game 1-1," he said when asked about Kepa's performance.
"I’m actually happier in many ways than I was after Brighton on Monday. It was a game of spirit and character and lots of individuals showed me good things today."
He added toSky Sports: "My job as a manager is to try to give Kepa confidence. It was a clear mistake and Kepa accepted that."
The former England star also expressed his disappointment in Christensen's dismissal, as he felt his side matched their opponents for most of the first 45 minutestellingBBC Sport: "I thought we could get higher up the pitch and would have done with 11.
"I was concerned with how we would defend our box, first half we were brilliant at doing it but the red card changed the whole course of the game."
He added: "For chances the first half was very even. The red card changes the face of the game, the talk I do at half-time, it forces me into a reshuffle and it was always going to be difficult after that.
"I think it could be given or not. I was perhaps surprised it was given as a yellow first. If it was given as a red straight away and you continue with that.