The 17-year-old is now the club's youngest ever goalscorer.
He scored his first goal for the club to secure the win for Liverpool in a game in which Leeds had plenty of chances to pick up a shock win.
Liverpool's Ben Woodburn celebrates scoring their second goal
It was a brilliant moment for Woodburn and made him the youngest player to score for Liverpool, taking away the record from Michael Owen.
It earned a response from the former Liverpool striker.
Liverpool's Ben Woodburn and manager Juergen Klopp celebrate after the game
He sent out this tweet after Woodburn scored, highlighting that he was happy with Woodburn taking the record and congratulating the teenager:
He was not the only former Liverpool striker to send a tweet to Woodburn. Neil Mellor, who once scored a famous goal for Liverpool himself in this competition, had this message for the teenager:
Delighted for young Ben Woodburn to get his first goal of many I hope in a Liverpool shirt!— Neil Mellor (@NeilMellor33) November 29, 2016
Jamie Carragher also tweeted his joy at Woodburn’s achievement, as did former Liverpool striker John Aldridge:
A lot of players who came through the academy & had big careers make an impact early through goals, Fowler, Owen, Woodburn & Carragher! ⚽️— Jamie Carragher (@Carra23) November 29, 2016
The positives are,we're In the semis,a clean sheet,but I'm made up for young woodburn in particular.— John Aldridge (@Realaldo474) November 29, 2016
It was a fantastic night for Woodburn and Liverpool, with the teenager’s goal putting the Leeds fight to bed in a tough game for the Reds.
Hopefully this is just the start of a flourishing career for Woodburn at Anfield.