The sliders either reduce or increase the vibrance or intensity of the colors independently.
This will reduce or increase the saturation of the final output.
We can't tell you where to set the sliders. It depends on what you are printing.
Welcome to the forum ilovemisty.
I can't think of a reason why LR and PS should produce different printing results with the same correct settings. I use LR, but I just set up and printed from PS. LR and PS produced same prints.
Double check your settings. Since you used term color/intensity I am assuming you are on a PC.