This paper investigates the dynamic responses of spinning FG GPLs reinforced with a nanocomposite sandwich cylindrical shell based on a magnetorheological elastomer (MRE) core subjected to thermomechanical loading and residual stress. The sandwich cylindrical shell is considered using the Donnell-Moshtari theory based on metal matrix nanocomposites; furthermore, GPLs are used with uniform and FG distribution in the thickness direction to reinforce these layers. The MRE core layer is modeled based on FSDT. The effect of temperature on the mechanical properties of MRE, GPLs, and metal matrix nanocomposites is considered. The mechanical properties of the nanocomposite sandwich shell are obtained based on the Halpin-Tsai micromechanics model and the rule of mixture. The equations of motion for a spinning sandwich shell are obtained by considering the rotary inertia and shear effect. The frequencies of a spinning shell are derived using the Differential Quadrature Method. The effect of parameters such as weight fraction and distribution of GPLs, MRE core, spinning speed, residual stresses, and thermomechanical loading on the dynamic behavior of spinning nanocomposite sandwich shells are studied.