When comparing between an electric motor, and a generator. I find them being quite similar. I can use and motor as a generator and vice versa.
What's confusing is the principle, the Lorentz force applied in the case of a motor, it causes the torque & acceleration of the armature. Simultaneously, causes the motional back-emf on the motor when it reaches high speeds.
What about the case of a generator? Certainly there is emf due to the Lorentz force, and when there is a load connected to a generator, current flows inside that magnetic field,is there a Lorentz force due to that generated current flow that opposes the applied mechanical input that induced the voltage of the generator?