Frank Lampard and Edin Dzeko each scored twice as City strolled to victory with seven second-half goals at the Etihad Stadium yesterday, setting up a home game with Newcastle United.
Lampard broke the deadlock in the 47th minute, tapping home a low cross from James Milner at the near post to score his second goal in two games following Sunday's equaliser against his former club Chelsea.
Dzeko turned in a Jesus Navas cross in the 53rd minute and Navas made it 3-0 with a jinking run and fierce shot a minute later.
"I really enjoyed that because tonight we saw the team that we were used to seeing last year," said City manager Manuel Pellegrini.
"It is important to try to retain the trophy, but the most important thing tonight was to play like we did."
Chelsea gave a first appearance of the season to goalkeeper Petr Cech and took a 25th-minute lead against Bolton when debutant Kurt Zouma lashed home after Gary Cahill's header was blocked at a corner.
Chelsea will visit fourth-tier Shrewsbury Town in round four.
- Dummett delivers Newcastle -
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Meanwhile, Tottenham Hotspur had to come from behind to win 3-1 at home to Nottingham Forest.
