Pseudoplastic fluids are non-Newtonian fluids with intriguing uses in current research and industry. Among many other extant models, the Sutterby fluid model is an essential viscoelastic fluid model that demonstrates shear thinning and shear thickening properties in high polymer aqueous solutions by manifesting viscous and elastic aspects during deformation. The magneto hydrodynamic effects of Sutterby nanofluid on porous elastic surfaces in the presence of chemical processes are examined in this theoretical study. By using similarity transformation, the mathematical model of a governed problem is converted into a collection of differential equations. A shooting strategy is used to solve these nonlinear coupled ordinary differential equations. The velocities, temperatures, and chemical species concentrations of fluids are graphically shown. Physical quantities of importance, such as local heat and mass flow, are visually represented using bar charts. Heat and mass transport, as well as chemical species concentration, decrease with Hartman number in both suction and injection. Chemical concentration of governed fluid rises for homogeneous reactions but drops for heterogeneous reactions. Temperature and concentration of fluid increases for thermophoresis parameter but decreases for Brownian motion parameter, also the effects of injection are much stronger and higher than suction.