To achieve high efficiency and accuracy of simulation, a multi-mode voltage-behind-reactance (MVBR) induction machine model was proposed based on frequency shifting theory. At first, the analytic signals were constructed by using Hilbert transform. Frequency shifting was performed, and multi-scale VBR and approximate VBR (AVBR) models were developed. Meanwhile, shift frequency was introduced as a novel parameter in the proposed MVBR model. By appropriate selection of shift frequencies, accurate and efficient multi-scale transients simulation was supported. When the shift frequency was set to be zero, MVBR model performed in the same way as AVBR model. In this mode, high-frequency transients were simulated accurately with small time-step sizes. The conductance matrix of machine model remained constant, thereby contributing to improvement in simulation efficiency. When the shift frequency equaled the carrier frequency, multi-scale VBR model was selected. Large time-step sizes can be used in the simulation of low-frequency transients and steady-state. The test case demonstrated the effectiveness of the proposed machine model in terms of accuracy and efficiency.