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.
1. Karl Darlow
Surprisingly fielded ahead of Dubravka, called upon early in the game as City pressed for an equaliser, not at fault for either goal 7 Photo: Ian MacNicol
2. Javier Manquillo
Went into the game after signing a new four-year deal at the club, switched to the left after Rose was taken off 5 Photo: LAURENCE GRIFFITHS
3. Fabian Schar.
Conceded the all-important penalty for City’s opener, had a forgettable game with and without the ball 4 Photo: Catherine Ivill
4. Federico Fernandez.
Uncharacteristically careless with the ball on a night when United couldn't afford to give it away cheaply 5 Photo: Pool