The holders pushed for double figures at the end, but had to settle for just the nine goals to take into the second leg. Checkout our breakdown of the game below. 'They don't just beat you, they annihilate you.
Pep Guardiola always speaks fondly of this competition as it was the first trophy he won since coming to England. We're going to play a lot from the second team and those who don't get many minutes.
The League Cup was the first trophy Guardiola won as a manager in England, with success past year coming amid City's record-breaking Premier League campaign.
"Strikers need to score goals, he has had chances in the last few games and today he has scored", Guardiola said.
League One Burton got a stark reminder of the size of the task facing them when Championship side Rotherham went to the home of the Premier League champions in the FA Cup on Sunday and suffered a 7-0 thrashing. They have enjoyed a special run to get this far with victories over Aston Villa, Burnley, Nottingham Forest and Middlesbrough - and though a two-legged tie is firmly against them, they will not go down without a fight.
The German worldwide was at the heart of Manchester City's thumping win over Rotherham United this past weekend, as he controlled the game with his incisive distribution and vision.
"But the difference with Premier League teams is the quality of the players and the rhythm".
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It really is a complete mismatch when you look at any possible angle between these two teams.
However, Tottenham legend Lineker has been impressed with their ability to remain within touching distance of Liverpool FC and Manchester City this term - after they returned to winning ways in the Premier League with a 3-0 win at Cardiff City last week. But that's why we love football and particularly cup football so much because it throws up these clashes.
Despite the 9-0 scoreline, City's fans were keen for more goals as chants of "we want 10" rang around the ground before the final whistle.
There's been two City's at times this season.
"When big clubs have a chance to win a final they don't have doubts".
"I wanted to congratulate them for an incredible tournament", he said.