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In the framework of generalized Lorenz–Mie theory, we report here the results of our comprehensive study for analyzing and computing the optical torque (OT) caused by AGVBB on a charged sphere of arbitrary size. The effects of polarization, order, half-cone angle, the position of particle, and the surface charge are carefully considered. The axial and transverse components or OTs are numerically calculated, and the sign reversal of the axial OTs and vortex-like character of the total transverse OTs are mainly discussed. The results reported here are expected to have significant impact on improving the ability of optical manipulation and rotation.