Raheem Sterling's first two Manchester City goals of the season - and Ferran Torres' first for the club - ensured the holders reached the quarter-finals of the Carabao Cup at Burnley's expense.
City dominated the game and Burnley keeper Bailey Peacock-Farrell had to twice smartly deny Sterling before the England forward got the breakthrough after Benjamin Mendy's cross.
His second was a close-range finish from Torres' cross before the Spain winger, who joined from Valencia for £20.78m in August, put the tie beyond Burnley's reach with an instinctive finish to cap a fine individual display.