The Egyptian reached the milestone as the Reds avoided a season-opening loss away from home.
After scoring for Liverpool in a 2-2 draw against Fulham at Craven Cottage on Saturday, Mohamed Salah equaled the Premier League record of Alan Shearer, Frank Lampard and Wayne Rooney.
The Egyptian now scored eight goals on the first day of the competition, putting Shearer, Lampard and Rooney together the most.
Salah scored late in the second half to put them back in the game after Mitrovic’s second goal put them ahead.
A good combination between Democratic Republic of Congo attacking midfielder Neeskens Kebano and Kenny Tete on the right wing resulted in an excellent cross from the latter in the 32nd minute on the post where Mitrovic was waiting.
The Serb jumped over Trent Alexander-Arnold and scored with a powerful header that Alisson Becker couldn’t stop.
While Liverpool pressured Fulham, Darwin Nunez scored almost two minutes after the hour. Salah delivered a low cross that was caught by the Uruguayan, who tried to tap the ball into the net, but Marek Rodak stretched wide enough to save.
Nunez, on the other hand, scored in the 64th minute to make his Premier League debut.
In the 71st minute, referee Andrew Madley pointed to the spot after Virgil van Dijk knocked down Mitrovic, and the Serb successfully converted from the spot for his second goal.
As a result, Mitrovic is the first player since Steve Mounie for Huddersfield against Crystal Palace in August 2017 to score two goals for a newly promoted side on the first day of a Premier League season.
Liverpool fought back and tied the game in the 80th minute. Salah was set up by a diagonal pass from Alexander-Arnold. The Egyptian took advantage of the situation and equalized for the Reds with Nunez assisting.
Nunez is only the third player in Premier League history to score and assist from the bench on his debut, and the first since Alvaro Morata for Chelsea against Burnley in August 2017 and Sergio Aguero for Manchester City against Swansea in August 2011.