Dwight Gayle missed a sitter before Raheem Sterling doubled City’s lead after Kevin De Bruyne had given the visitors the lead from the penalty spot at St James’s Park in the behind-closed-doors clash on Tyneside.
Newcastle writer Miles Starforth has handed out his player ratings following the defeat.
City will now face Arsenal in the semi-final at Wembley.
5. Jamaal Lascelles.
It was a long evening for him and his defensive colleagues as City pressed again and again 6 Photo: Laurence Griffiths
6. Danny Rose.
Cautious and composed, used his experience as City pressed for an opener 6 Photo: Laurence Griffiths
7. Isaac Hayden.
Passed a fitness test after suffering a knock against Villa, had his work cut out against City's midfield 6 Photo: Laurence Griffiths
8. Sean Longstaff.
Handed his first start of the restart, and had to play catch-up with his fitness against the second-best team in the country 5 Photo: Mark Runnacles