This article investigates the optimized backstepping (OB) cooperative control problem for stochastic nonlinear multiagent systems (MASs) with non-affine nonlinear faults. In addition, to save resources and achieve better system performance, a novel switched-triggered mechanism (STM) is proposed for updating the actual controller. Based on the identifier-critic-actor structure and OB technique, the optimal controller is constructed. Additionally, a Butterworth low-pass filter has been incorporated to tackle the challenge of non-affine nonlinear faults. Finally, It is proved that all signals of the controlled system are bounded in probability, and the output of each follower can accurately track the leader's output. Simulation results are presented to validate the effectiveness of the proposed control scheme.