Barcelona lost their slim LaLiga title hopes on Monday when they were beaten by Cadiz at Camp Nou.
Lucas Perez scored the only goal of the game after 48 minutes to silence the home crowd and leave Barcelona 15 points behind leaders Real Madrid, who came from behind to win at Sevilla on Sunday.
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Xavi said he was angry with the nature of the Cadiz loss and his players were "pissed off" after being knocked out of the Europa League.
The players are angry because they missed out on a chance to separate themselves from those in the fight for the European spots and also to fight for LaLiga.
We have to be self-critical, myself first, as the coach, because I am annoyed. I am angry because we are playing to be in the playoffs. There was no desire or determination. We have to turn things around as soon as possible after a bad week.
The players are angry. I tried to encourage them after the match, but they must compete better. We have to look at what we did wrong. We have another final against Real Sociedad on Thursday.
Barcelona had a run of seven straight wins in LaLiga and 15 in the Spanish top flight. It was their second loss in the league under Xavi, who has steered the team from ninth to second.
The coach said that things have improved since they took over.
We have to look ourselves in the eye and have more desire because we can't lose at home. We have to do more. We wanted to do more and fight for more.
The top four teams in Spain are all in the playoffs, and the second place team is still in the running. Real Betis and Real Sociedad have the same number of points.
We have to improve and play better in order to qualify for the playoffs next season.
The players want it. It is a question of giving everything the chance to succeed. It was their last game and they had to equal that.
The game was played in a strange environment. Some fans decided to stay away from the home end after the club changed their ticket policy.
The singing section behind one of the goals was left empty, with the supporters group in charge of the section explaining that they were boycotting the match because they felt like an away side in their own stadium against the German side.
Some fans protested before the game. A group of people gathered to call for the resignation of president Joan Laporta.