Does turbulance show on the type of radar used by airliners….I think not. Turbulance is avoided by forecasting and ‘ride reports’ from from airliners operating in the same area. Pilots change flight level and speed to improve ‘ride’ and passanger comfort.

Many aircraft weather radars have a turbulence detection mode. Turbulence associated with precipitation is detected using the doppler effect. What it cannot do, however, is detect clear air turbulence. There isn’t anything for the radar to detect.