In this work, we investigate the combined effects of heat and mass exchange on the time‐dependent convectional flow of a rheological nanofluid across a rotating cone. A numerical arrangement of nonlinear differential equations is obtained for spinning cones with separator temperature boundary conditions by similarity transformation. The effect of different parameters on the velocity, temperature, and concentration profiles are discussed. Tangential velocity is observed to decrease with an increase in the Deborah number, whereas it increases with increasing values of the angular velocity ratio, relaxation to the retardation time ratio, and buoyancy parameter. Expansion in the Prandtl number is noted to decrease the boundary‐layer temperature and thickness. Nusselt number and skin disunion observations are also considered. It is discovered that the Nusselt number expands by expanding the lightness parameter and Prandtl number, whereas it increases by decreasing the Deborah number. We also noticed that the Sherwood number falls incrementally in Deborah and Prandtl numbers, but it upsurges with an increase in the buoyancy parameter. The effect of parameters on temperature is graphically displayed, and the face shear stress tabulated values and heat shift rate are included in tables.