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A goal in each half was enough to see the Reds seal victory, with Dominik Szoboszlai and Alexis Mac Allister on target.
The result allowed Slot's team to extend their lead at the top of the Premier League table, after the match between third-placed Nottingham Forest and second-placed Arsenal ended goalless.
Liverpool are now 13 points clear at the top, albeit having played a game more than their closest challengers.
Newcastle weren't at full strength, with top scorer Alexander Isak not risked due to injury.
When asked what the game might have done mentally for his players, Slot told TNT Sports: "I don't think that means so much, because I saw a different Newcastle tonight [to the one] I saw a few months ago when we played them there.
"Breaking into a smile, he continued: "I don't know if that's for a reason, but normally I see them pressing 4-5-1 and now they press 4-4-2, so maybe they wanted to do things a bit differently.
But probably we are rested a bit better as well, than we were in our fifth game in 15 days."
Do you expect Newcastle to play differently at Wembley(
Alexander Isak played no part for Newcastle at Anfield.
While Liverpool have two legs of a Champions League round of 16 meeting with Paris Saint-Germain, they're no longer in the FA Cup - where Newcastle face Brighton this weekend.
"It is out of my mind at the moment," Newcastle boss Eddie Howe said when asked about the final.
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