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Try to enter those grooves and mess around with the velocities of individual voices (hat/kick/snare) to get those grooves to feel good and authentic.
Typically (but, of course, not always) the snare drum and bass drum are lighter in jazz with the Ride and Hi-Hat being more prominent. Rock and Pop really lay into the kick and snare - pretty much the polar opposite of jazz.
The more you do it, the better you'll get.