Proper LOP, good limbsaver pad, and not shooting off a bench would help.
Added a slip on limbsaver to increase my LOP and add some padding on a .308 and it's felt recoil is on par to my wife's .243.
Adding some weight could help too, depending on the rifle and what you do with it...
With all that extra you didn't ask for out of the way, a 7mm-08 could have a noticable bit of less recoil, if you buy identical rifles. Rifle weight, stock fit, and shooting posture can be just as important when dealing with felt recoil.