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James Milner believes Liverpool handed Sevilla the Europa League trophy with a "sloppy" second-half performance at St-Jakob Park.
Liverpool were beaten 3-1 in the final in Basel despite leading at the break thanks to Daniel Sturridge's stunning opener.
However, France international striker Kevin Gameiro tapped home an equaliser for Sevilla within a minute of the restart, before Coke fired the Spanish team to victory with two goals in seven second-half minutes.
In their 63rd match of the season, Jurgen Klopp's side struggled with Sevilla's energy and pace in the second half, but Reds' captain Milner feels Liverpool let the holders back into the game by failing to build on their impressive first-half showing.
"We never started in the second half and it is devastating. We didn't show near our ability and that is the biggest disappointment," he told BT Sport.
"We were ready, we made sure we said the right things at half time but we gave a sloppy goal away and never got back into the game.
"We didn't do it on the night that mattered. We got into two finals [Liverpool were beaten by Manchester City in the League Cup final in February] and lost both, next time we need to finish the job.
"We have showed our character in the competition but today we could not do that."
Manager Jurgen Klopp feels his players struggled to respond to Gameiro's equaliser 17 seconds into the second half, allowing Sevilla to regain the initiative.
"The first goal is not a problem, what happened after that is the problem. We lost faith completely in our style of play, we lost shape and we were nervous in defence," he told BT Sport.
"That shows our development is not as good as hoped. We have to carry on and use this experience, I am sure we will be strong. It is disappointment and frustration tonight."