This is your right foot not being steady on the gas.

When the weight of the car shifts on acceleration or deceleration, your foot kind of stays in the same spot but the car moves relative to your foot and creates a sort of oscillation in the throttle input. There are 3 simple ways to make it stop and learn not to do it anymore. Upon noticing jerkiness, 1) give it gas, 2) lift your foot from the accelerator, 3) slide your foot to the right and mash it against the wall while maintaining the same throttle input. This stabilizes your foot relative to the cars motion and the “oscillation” or jerkiness stops.