Robertson set up Mane's header in the first-half with an inch-perfect cross whilst he put the ball on a plate for Salah's second goal in the last ten minutes.
Robertson now has 11 assists in the league this season, equalling a record shared by former Everton defenders Leighton Baines and Andy Hinchliffe.
Asked about his assists haul, he told Sky: "Yeah, delighted. He [Alexander-Arnold] got one as well. I’m just keeping in front!
"But it’s all about trying to help the team, and that’s why we did it [had a competition to get the most assists], it pushes both of us.
"I think it proves it by the numbers this season. But it’s friendly banter and hopefully it’s stayed that way the whole way through.
"Whoever wins it now it’s going to be incredible and it's good numbers from both of us."
The Scotsman also insisted that Liverpool will remain solely focused on themselves rather than think about whether Manchester City will drop points in their final three games.
The Reds are next in action against Barcelona in the Champions League semi-final first-leg on Wednesday before turning their attention back to the title race against Newcastle next weekend.
Liverpool are now on 91 points and move back above Man City in the table, with Pep Guardiola's side facing Burnley at Turf Moor on Sunday.