Mixed convection heat flow is an imperative topic that has engrossed the consideration of numerous researchers for its applications in solar collectors, engine cooling by radiators, cooled nuclear reactors etc. In such applications, the linear form of the density deviation concerning temperature is insufficient since the thermal difference is substantially large. Hence the modified Boussinesq approximation is appropriate and noteworthy. Therefore, the non-linear mixed convective dynamics of the nanoliquid on a surface of a rotating cone subject to the Stefan blowing, Lorentz body force and thermal jump surface conditions are studied. The response surface method (RSM) is employed to simultaneously optimize the heat and mass transfer rates. The axial flow is significantly decelerated due to stronger Lorentz body force, while the thermal energy increases. RSM optimization procedure determined that the maximum Nusselt number (0.47408) and Sherwood number (1.20187) occurred for a low level of Brownian motion and the high level of Stefan blowing number and thermophoresis number. The Lorentz force improves the temperature field, consequently the Nusselt number reduces for stronger Lorentz force.