Why can an induction heating process heat magnetic material faster than non magnetic material?

To heat something by induction (which is and oscillating magnetic field), the material has to react to the magnetic field. As the magnetic field is made to oscillate, the molecules of the material are pulled and vibrated in sympathy with the field and their vibration energy increases.

Heat IS the vibration of molecules.

Thus induction heating will work on a magnetic material but will have no effect on a material that is not magnetically susceptible.