Adnan Januzaj's first goal for Sunderland handed David Moyes his maiden competitive victory as the Black Cats beat League One Shrewsbury 1-0.
Bournemouth registered their first win of the season as Marc Wilson's fine strike saw them overcome League Two table-toppers Morecambe 2-1.
Manchester City will face Swansea City and Leicester City take on Chelsea in the EFL Cup's third round.
New arrival Adnan Januzaj scored a late goal to help Sunderland advance in the EFL Cup after beating Shrewsbury Town 1-0 on Wednesday night.
Liam Twomey rounds up Chelsea's winners and losers from the club's 3-2 victory over Bristol Rovers in the second round of EFL Cup.
Antonio Conte has said Ruben Loftus-Cheek has all the attributes to shine as a striker for Chelsea.