Kane had a golden opportunity to win the game in the 87 minute after his side was awarded a penalty-kick, but he missed from the spot after a save from Karius.
And after Moss awarded Kane a second opportunity from the spot, the England global placed his penalty into the bottom-right corner.
Tottenham left Anfield with a point on Sunday after an absolutely incredible final 10 minutes. Liverpool swarmed forward from the off, refusing to allow the visitors to settle and did to Spurs what they had done to Manchester United in midweek in making a swift breakthrough.
The Tottenham boss fielded Kieran Trippier on Wednesday night but the England global will have competition for his right-back berth after Aurier returned to training following a calf complaint.
The England striker slotted away the penalty with what was virtually the last kick of the game to rescue a 2-2 draw for Tottenham and reach a significant scoring milestone in just 141 games in England's top division.More news: North Korea violated sanctions, earned $200 million, United Nations report alleges
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"There were so many situations to talk about but the ref's decisions decided the game so I can't help but talk about them I don't understand either of the penalty situations".
Liverpool got off to a great start as they took the lead in the third minute when Salah capitalised on a mix-up in Spurs' back line before slotting past Hugo Lloris. "With these players and they age group, the players are closer to 20 than 30, so that is a very interesting project", he added.
"[The referee] made a mistake at the first penalty because it was clear offside". Their quality is too high.
"I follow the games of Tottenham and they have a good team". The feeling is we dropped two points.
But with Liverpool facing the likes of Harry Kane, Dele Alli and Christian Eriksen today, Liverpool need their best players involved.
"Tottenham is behind all of us in the Champions League positions at the moment, so [top four] is for sure a success".