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The winger drilled Reading into a seventh-minute lead when he found the top corner following good work from Jobi McAnuff.
It was then Simon Mignolet's turn to save his side as the Sunderland keeper tipped a Pogrebnyak header over the crossbar.
Harte's delivery caused Sunderland problems all afternoon and it was to be from his free kick that Kebe would double his tally and secure Reading the points.
Moments after Federici had acrobatically denied Black Cats substitute Danny Graham a debut goal, Kebe climbed high at the back post to power Harte's free kick past Mignolet and ensure Reading's recent good form continued.