The current pagination reports both the heat and mass transfer aspects subject to two dimensional steady flow over a moving wedge for the Carreau viscosity model with infinite shear rate viscosity. The results are reported for the both shear thinning and shear thickening cases. The set of ordinary differential equations has been obtained by transforming the nonlinear partial differential equations (manipulating fluid flow) with the aid of admissible transformation and then sorted out numerically by using the Runge-Kutta Fehlberg method merged with shooting proficiency. The Carreau fluid temperature reduces via higher values of viscosity ratio parameter for shear thickening case while Carreau fluid concentration shows decline towards wedge angle for both shear thinning and thickening cases.