Dwight Gayle scored twice in the Magpies 2-2 draw with Bournemouth, giving him the team lead in goals.
Manchester United are now third, a point behind Liverpool with a game to play.
Mane's heavy touch denied the winger a sight of goal in the early minutes, while Salah sent a volley into the side-netting, but both attackers would find the target later.
The Magpies now sit 15th in the table but are just two points off the drop zone following their 2-2 draw with Bournemouth last time out so Benitez will be desperate to take a positive result away tonight.
Liverpool are unbeaten in 21 home league games against Newcastle (W17 D4 L0), since a 0-2 loss in April 1994 thanks to goals from Rob Lee and Andy Cole.
Karius made a brilliant save high to his right to palm over a looping Mohamed Diame strike after Mikel Merino's backheel teed up a first-time drive.
"The main thing is to win the game".
Explosion in Afghan Capital, Casualties Reported
I think the Afghan leaders have been clear today about their commitment to peace, and this is a courageous stance. However, Rutting and Bjelica said that Kabul could actually offer such a unilateral step first.
The last Liverpool player to score in seven successive matches was Daniel Sturridge in February 2014.
Benitez is confident his side will soon start to amass points if they approach games with the intensity he felt was on show at Anfield.
Jurgen Klopp's men continued their resurgence in the second half, as Sadio Mane made it 2-0 in the 55th minute after a handful of ideal passes earlier on.
In their prior meeting this season, Liverpool and Newcastle settled for a 1-1 draw at St. James' Park.
Liverpool has the second leg of its Champions League round of 16 tie just three days after this game, but the side has the luxury of a 5-0 advantage and can thus afford to play its stars against Newcastle.