The Portuguese is having a hard time at Old Trafford with the Reds in eighth place - 18 points behind Premier League leaders Manchester City and eight off the top four.
Fulham edged to within a point of safety despite blowing the lead in a 1-1 draw with Leicester.
Klopp sent on Salah and Firmino soon after James Milner equalized in the 62nd, and they made an immediate impression. Klopp was later critical of Burnley's physical approach. And the coach knows it.
"As a team we need to develop every single game".
Ruben Loftus-Cheek gave Chelsea an interval lead, but Wolves responded with two goals in four minutes either side of the hour-mark through Raul Jimenez and Diogo Jota.
Meanwhile, United start without their two record signings Pogba and Lukaku who have been dropped to the bench. Articles appear on euronews.com for a limited time.
United twice came from behind in the frantic, and often feisty, 2-2 draw played in front of British boxer Tyson Fury, who drew his world heavyweight title bout with Deontay Wilder on Saturday.
Arsenal grew into the game after some early United dominance and went ahead 26 minutes in, when De Gea let Mustafi's header slip through his grasp and Ander Herrera could not clear off the line in time.
Alexandre Lacazette capitalised on a Marcos Rojo mistake in the second half only for Jesse Lingard to respond nearly immediately, meaning each side had to settle for a draw that does not greatly benefit their top-four ambitions.
While Holding may be out for the long term, Emery said captain Laurent Koscielny could soon be ready to make his first start of the season - possibly in next week's Europa League match against Qarabag.
Spurs took advantage of Chelsea and Arsenal dropping points to move back up to third with a comfortable 3-1 win over Southampton, whose new manager Ralph Hasenhuttl watched on from the stands at Wembley. Harry Kane has scored more goals against the Foxes than any other team and he can help the visitors extend their fine record against the non-elite - they've won 10 of 11 games against sides outside the current top five.
Everton forward Richarlison rescued a point for his side in a 1-1 home draw against Newcastle.