First-half goals from Amad and Dan Neil gave Tony Mowbray’s side a commanding two-goal lead at the interval, before the Clarets’ second-half comeback.
Nathan Tella’s header halved the deficit, before goals from substitute Manuel Benson and winger Anass Zaroury saw Vincent Kompany’s side take the lead.
Josh Brownhill then added a fourth with three minutes remaining.
Our Sunderland writer Phil Smith has dished out his player ratings from the Stadium of Light:
9. Elliot Embleton - 6
One of the best players on the pitch in the first half, tireless out of possession and with a real threat on it. Played his part in the second goal. 6 Photo: Frank Reid
10. Alex Pritchard - 7
Tremendous through the first half, with a crucial role in the first goal as he produced a glorious run to open up the pitch. Withdrawn after Burnley’s second as Mowbray tried to get more energy into this side. 7 Photo: Frank Reid
11. Jack Clarke - 5
Clever assist for the opener and led the line well for the most part. Some dangerous moments in the second half but didn’t lead to much in the end. 5 Photo: Martin Swinney
12. Jewison Bennette (sub) - 5
Looked bright in the opening moments that followed his introduction but ultimately had little impact on the game. Burnley dominated the ball after getting level. 5 Photo: Frank Reid