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Manchester United's Antony celebrates scoring their second goal with Amad Diallo during the FA Cup quarter-final against Liverpool at Old Trafford on Sunday. Image Credit: Reuters

Manchester: Amad Diallo scored deep in extra time after Marcus Rashford made amends for a bad miss to lift Manchester United to a breathless 4-3 victory over north west rivals Liverpool and into the FA Cup semi-finals on Sunday.

United's victory at Old Trafford kept alive their only hope of silverware this season and spoiled Liverpool's dreams of hoisting four trophies in manager Juergen Klopp's final season with the team.

Scott McTominay gave United a 10th-minute lead but Liverpool turned the game on its head with goals from Alexis Mac Allister and Mohamed Salah before halftime.

Antony's 87th-minute for United, however, sent the game into extra time when Harvey Elliott netted to cheers from Liverpool's 9,000 travelling fans.

But 12-times FA Cup winners United -- who are four places below Liverpool in the Premier League -- kept their foot on the gas and Rashford, who had missed a sitter late in normal time made it 3-3 in the 112th minute.

Alejandro Garnacho and Diallo then found themselves on a breakaway with Diallo firing home the winner to a deafening roar from the Old Trafford faithful. He was then sent off after receiving a second yellow card for his celebrations.