A new strategy for employing the finite control-set model predictive control (FCS-MPC) to the dual inerter fed open-end winding induction motor is presented in this paper. Effective switching states for attaining a four-level inversion in this structure are 37 vectors. Using this large number of switching states in the predictive control, demands high computational burden. In the suggested method, the voltage vectors are selected in a cascaded form. Therefore, calculations of the predictive control need to be done only 13 times, which require about 65 percent less computational burden. It has to be noted that in this strategy, all the effective switching states can be selected. Moreover, the active redundant states are used automatically. A comparison is made between the proposed strategy and the conventional voltage vector selection method in the both predictive torque and current control schemes. The usefulness of the innovative cascaded FCS-MPC strategy is examined and validated through the simulations.