Everton were two ahead early on through Ayegbeni Yakubu and Tim Cahill, with Steven Pienaar adding a third before Dwight Yorke pulled one back in first-half injury time.
Sunderland tried to get back into the game early in the second-half, but their dreadful defence was torn apart by further goals from Cahill, Yakubu, Andy Johnson and Leon Osman.
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