Tom Huddlestone and Oumar Niasse earned the Tigers a win on the night, but a Paul Pogba effort ensured the Red Devils progressed 3-2 on aggregate
Manchester United booked their place in the EFL Cup final despite suffering a 2-1 defeat in the second leg of their semi-final clash with Hull City.
A Tom Huddlestone penalty broke the deadlock on the night, after Harry Maguire had been nudged over inside the box by Marcos Rojo.
Zlatan Ibrahimovic went close to offering an immediate response for United at the KC Stadium, while second half penalty shouts from Paul Pogba and Chris Smalling fell on deaf ears.