I know the theory behind bending inward while taking a turn. It is done to make a component of friction act as centripetal force and prevent from us from getting thrown out due to centrifugal force.
The main question begins here: When we have entered the turn and also tilted the vehicle,if we want to change our direction a little bit,we need to apply pressure on the opposite side on the handle i.e turn handle left for going right and vice versa. And same applies to steering of a car. What is the concept behind this? Please, if possible, include the laws of physics acting here in the answer. This question is not a duplicate of this post because there everyone has discussed about centripetal and centrifugal forces and not about the position of handle and steering during this process. Whereas I have clearly mentioned that know the concept of tilting and the forces acting the vehicle.