This paper introduces the Clifford Circuits Augmented Time-Dependent Variational Principle (CA-TDVP), an extension of the Clifford Circuits Augmented Matrix Product States (CA-MPS) method to simulate time evolution of quantum many-body systems. CA-MPS enhances the power of Matrix Product States (MPS) by incorporating Clifford circuits, which are efficient to simulate on classical computers and can handle stabilizer entanglement. CA-TDVP applies Clifford circuits to reduce entanglement entropy in the MPS during time evolution simulations, enabling longer time evolution with the same bond dimension. The method involves evolving the initial state using the Time-Dependent Variational Principle (TDVP), applying Clifford circuits to reduce entanglement, and transforming the Hamiltonian accordingly. This approach reduces the entanglement entropy in the time evolution process, making the simulation more reliable for longer times. The results show that CA-TDVP can simulate longer time evolution with a smaller bond dimension compared to TDVP. The method was tested on the 1D XXZ chain and 2D Heisenberg model, where it demonstrated effectiveness in reducing entanglement entropy and enabling longer time evolution. The study also highlights that non-stabilizerness, rather than stabilizers, is the main contributor to entanglement growth in time evolution. CA-TDVP provides a useful tool for simulating time evolution of many-body systems in the future.This paper introduces the Clifford Circuits Augmented Time-Dependent Variational Principle (CA-TDVP), an extension of the Clifford Circuits Augmented Matrix Product States (CA-MPS) method to simulate time evolution of quantum many-body systems. CA-MPS enhances the power of Matrix Product States (MPS) by incorporating Clifford circuits, which are efficient to simulate on classical computers and can handle stabilizer entanglement. CA-TDVP applies Clifford circuits to reduce entanglement entropy in the MPS during time evolution simulations, enabling longer time evolution with the same bond dimension. The method involves evolving the initial state using the Time-Dependent Variational Principle (TDVP), applying Clifford circuits to reduce entanglement, and transforming the Hamiltonian accordingly. This approach reduces the entanglement entropy in the time evolution process, making the simulation more reliable for longer times. The results show that CA-TDVP can simulate longer time evolution with a smaller bond dimension compared to TDVP. The method was tested on the 1D XXZ chain and 2D Heisenberg model, where it demonstrated effectiveness in reducing entanglement entropy and enabling longer time evolution. The study also highlights that non-stabilizerness, rather than stabilizers, is the main contributor to entanglement growth in time evolution. CA-TDVP provides a useful tool for simulating time evolution of many-body systems in the future.