Amad Diallo scored in the final moments of extra time, securing Manchester United's place in the FA Cup semi-finals and crushing Liverpool's hopes of a quadruple.
The Red Devils emerged victorious in a thrilling 4-3 encounter at Old Trafford, which concluded in dramatic fashion.
All eyes were fixed on Old Trafford as these fierce rivals clashed in a highly anticipated encounter that lived up to its billing on Sunday, swinging back and forth before a dramatic conclusion.
Scott McTominay gave United an early advantage, but Liverpool appeared poised to dominate after Alexis Mac Allister and Mohamed Salah struck late in the first half to put Jurgen Klopp's side in command.
Under pressure, Erik ten Hag's team struggled to respond, but substitute Antony managed to equalise against the run of play in the 87th minute.
Marcus Rashford squandered a golden opportunity to seal the quarter-final victory with the last kick of regular time, keeping the roller-coaster ride alive into extra time.
Liverpool substitute Harvey Elliott dealt a devastating blow in the 105th minute, but United, spurred on by fan Tyson Fury, rallied.
Rashford restored parity in the 112th minute, and Diallo clinched victory with a breakaway goal in added time at the end of extra time, sending Old Trafford into raptures.
The 21-year-old was subsequently sent off for receiving a second yellow card after removing his shirt during the deafening celebrations.
Earlier, Chelsea substitutes Carney Chukwuemeka and Noni Madueke scored stoppage time goals to earn a thrilling 4-2 home victory over battling second-tier side Leicester City on Sunday and a place in the FA Cup semi-finals.
On March 16, Manchester City and Coventry City F.C bagged wins to qualify for the final four. Pep Guardiola's men defeated Newcastle by 2-0 while Coventry edged Wolves 3-2.