Liverpool suffered a 3-1 defeat in the Kiev at the hands of 13-time European champions Real Madrid after Karius succumbed to two crucial errors in the game.
The German goalkeeper was visibly distraught at the full-time whistle, while Salah, who only featured for 30 minutes before injury struck, also left the pitch in tears.
And Scholes feels the modern era of footballers have become 'sensitive', making reference to his playing days with the Red Devils in the late '90s and early 2000's.
"I can understand Karius, I suppose, he’s devastated at what’s happened," he said as quoted by Manchester Evening News. "But injuries are part of the game.
"If you go back years and you saw somebody crying on the pitch, they'd have had a whole load of stick for it. Now it's a different game, players are sensitive and they get upset easily.
Asked whether he didn't feel the same way when he was suspended for the 1999 UEFA Champions League final, Scholes said; "No. What's crying going to do?
"It's not going to make the booking go away. Obviously, I was disappointed but close to tears? I don't think I have [cried on a pitch]. Maybe when I was 11 or 12 and we lost the cup final or something."