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Ernesto Valverde's side ran out comfortable winners at the Camp Nou, where Saturday's Clasico against Real Madrid was due to be played before it was postponed until December because of political tension.
Strikes by Luis Suarez and Junior Firpo either side of halftime gave the Spanish champions their first win of the season.
The victory takes Barcelona up to fourth with 10 points after six games, one point behind surprise leaders Granada, Athletic Bilbao, and Real Madrid.
The Catalans started without all-time top scorer Lionel Messi as well as teenage sensation Ansu Fati and fell behind in the second minute.
Borussia Dortmund hit the woodwork and had a penalty saved before drawing 0-0 with Barcelona in their Champions League Group F opener on Tuesday, with Lionel Messi making his first appearance of the season for the Spaniards.
Karim Benzema scored twice for Real Madrid in a 3-2 win against Levante with Eden Hazard making his La Liga debut while Barcelona breezed to a 5-2 win against Valencia with more magic from 16-year-old Ansu Fati.
It is the second consecutive away game which Barca failed to win after losing 1-0 at Athletic Bilbao two weeks ago.
After the champions were surprisingly beaten 1-0 by Athletic Bilbao in their opening match of the season last week, they rebounded in style on Sunday.
Kerala compiled 134.75 points to finish runners-up.