Joe Hart captained Man City to a 1-0 victory over Steaua Bucharest, securing a 6-0 aggregate win and a place in the Champions League group stage.
League Two side Accrington Stanley knocked out Premier League Burnley thanks to Matty Pearson's last-minute strike in extra-time.
Watch goals from Wednesday's EFL Cup ties and see details of the third round draw.
Northampton Town have been handed a dream draw in the EFL Cup third round against Manchester United.
Joe Hart expects a 'solution' to his Manchester City future after being moved by fans' tributes during Wednesday's win over Steaua Bucharest.
Adnan Januzaj struck late as Sunderland beat Shrewsbury 1-0 to seal their first victory under David Moyes and reach the third round of the EFL Cup.
Wales manager Chris Coleman has questioned why Arsene Wenger selected Aaron Ramsey in Arsenal's Premier League opener.
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