Barca lifted the trophy on the away goals rule.
Filipe Luis and Arda Turan were shown red cards and Lionel Messi hit a penalty kick against the crossbar.
New Barca coach Tata Martino refused to take credit for the trophy: "I'm happy, but this was generated last season. I had nothing to do with it.
"We're champions and this title is for the players, and the coaching staff of Tito (Vilanova)."
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