How can this connect with Kinetic Energy Store and Gravitational Potential Energy Store?

When a force is done to move an object, the work done is going to be the same as the energy transferred to the kinetic energy store. That's if there is no friction If the object is already moving, and there is friction then the energy transferred from the objects kinetic energy store is equal to the work done against the objects motion If a object is being lifted, then the work done on that action will be the same as the energy transferred to its Gravitational Potential Energy Store