This paper focuses on the controller in the power transmission auxiliary system of tracked vehicles. Through the process of simplifying the model, initial stiffness calculation, sample set establishment, network training, and parameter identification, a parameter identification model for the power transmission auxiliary system based on the MOGA-LSTM model is established. The analysis results show that the stiffness identification results of the installation structure of the MOGA-LSTM model are reliable. It provides a foundation for further research on the coupling vibration modeling of the dynamic transmission body and the auxiliary system.