This was an essential victory for Liverpool's title ambitions.
After a sharp decline in standards last season, Liverpool look more like their old selves in the early weeks of the new campaign as five wins and a draw in their first six Premier League games sees Klopp's men sit two points adrift of Manchester City at the top of the table.
The 24-year-old Uruguayan has been out of favour so far this season, but his late brace against the Magpies showcased the best of his qualities and he will get more chances, Klopp told Sky Sports.
Darwin Nunez came off the bench to score twice as Liverpool snatched a sensational 2-1 Premier League win at Newcastle United on Sunday, with the visitors bouncing back from a straight red card in the first half for captain Virgil van Dijk.
Goals by Darwin Nunez, Bobby Clark and Diogo Jota in an eight-minute spell late in the first half gave the Reds a 3-0 lead at the interval
Liverpool brought Manchester United's bandwagon to a shuddering halt as Cody Gakpo, Darwin Nunez and Mohamed Salah all scored twice in a record 7-0 hammering of their arch-rivals to boost their Premier League top-four hopes at Anfield on Sunday.
Liverpool forward Mohamed Salah's struggles in front of goal are down to the club no longer having the "well-drilled" front three that terrorised defences in the past, manager Juergen Klopp said.
Virgil van Dijk said new Liverpool forward Darwin Nunez must learn to "control himself" after being sent off for a reckless headbutt during Monday's 1-1 draw against Crystal Palace.
Liverpool fought back with 10 men to prevent a first Premier League defeat in front of fans at Anfield since 2017 as Darwin Nunez was sent off during a 1-1 draw with Crystal Palace on Monday.