This analysis investigates the control of electromagnetic induction over the flow and heat transmission in shear-thickening hybrid nano and ferrofluids for cooling/heating applications. The stream is time-free and not turbulent. The leading equations are equipped with buoyancy, irregular heat sink/source, and thermic heat effects. The transformed, resulting equalities are resolved with the help of the bvp5c package. Twin expositions are discussed for the hybrid nano (engine oil (EO) + aluminum oxide (Al2O3) + titanium dioxide (TiO2)) and hybrid ferro (EO + iron oxide (Fe3O4) + cobalt ferrite (CoFe2O4)) cases. Numerical momentum, magnetic induction, and thermal profiles are obtained via graphical illustrations. Also, the tables present the friction factor and the measure of thermic transport. It divulges from consequences that the hybrid ferrofluids have a more conducive rate than hybrid nanoliquids, and the Nusselt number shrinks for uneven heat sink/source constraint values. Also, electromagnetic induction controls hybrid ferroliquid more than hybrid nanofluids. The prime application of the current research glimpsed in engineering practices viz. metal extrusion, synthetic fiber, microfluidics, glass fiber manufacture, etc.