May you please clarify which Lamborghinis you're driving? Most of the models in Gran Turismo Sport are equipped with four wheel drive so naturally they are prone to understeer on throttle as the front differential engages.
If you do not wish to dig into the fine tuning of the vehicle the best advice I can offer is to allow the off-throttle rotation to bring the car around until it's nearly straight, and delay your throttle application until you're at a point you know the vehicle can track out and not run off of the track.
If you want to get into the fine tuning, I would start with opening up the front differential. Lowering the initial torque value for the front differential in particular should mean that more throttle input is required to activate the differential. The net result is that the car should have better on-throttle rotation until the front differential is fully activated. The car will still understeer on power though as in reality, very little force is needed to activate the differential.
Some other changes you can investigate include increasing the rear spring and damper values relative to the front, and lowering the front anti-roll bar value relative to the rear. These changes should shift the lateral load transfer distribution rearward, which will promote more oversteer in all phases of the corner.
