V=0 in the inner sphere, then the charge is null in this sphere, or by other mean the work to reach ground is null. Then the induced charge in inner side of great sphere is null. The electric field between the spheres is null, then the energy stored in the field is null (system of charges).
The charge in outside of great sphere don't influence the electric field between spheres.
You have to read about Gauss Law to understand this. Or ask your teacher: What matter with conductor to shield the effect of surface charge, inside of conductor, and in particular case of two sides conductor, the conductor blinds?