We propose a flexible scheme for studying linear absorption response and optical bistability (OB) in a bilayer graphene-based optomechanical system. The results show that as the coupling between the G-mode phonon and excitons is turned on, the linear absorption spectrum will evolve from a single-peaked structure to a two-peaked one, and the spacing between two splitting peaks is equal to twice as large as the phonon–exciton coupling strength. Especially, we plot bistability phase diagrams within the system’s parameter subspaces, demonstrating that the bistable switch can be controlled via no, single, or dual-channel by changing the intensity of the pump light in a weak phonon–exciton coupling regime. This holds promise for developing precision-measuring nanodevices and multi-channel optical bistable switches.