The invention is a mill or rolling mill for processing cereals, granular materials, mixtures of cereals and similar products, comprising at least one pair of parallel cylinders (C, C″) positioned side by side, wherein each cylinder (C, C″) of each pair is provided with a torque motor that in turn is mounted or assembled directly on the shaft of the respective cylinder (C, C″), and at least one control circuit (Z) suited to select which one of said two cylinders (C, C″) of each pair rotates faster.