The remarkable thermophysical characteristics of hybrid nanofluids reveal the considerable potential in a wide range of heat transfer applications. In comparison to conventional nanofluids, their capacity to enhance heat transport is impressive. The current study represents the novel characteristics of hybrid nanomaterials such as Silicon dioxide (SiO2) and Titanium oxide (TiO2) in the flow of ethylene glycol under the significance of non-linear thermal radiation and non-uniform heat source/sink. The well-known Himelton-Crosser model for nanofluids is used to express the characteristics of nanoparticles in the fluid flow. The physical condition is modeled using boundary layer analysis, which produces partial differential equations, under several significant physical parameters. The outcomes of numerical simulations are captured in graphs and numerical data by operating the bvp4c tool in MATLAB software. Through numerical studies, it has been found that the wall shear stress in both types of fluids is inversely correlated with the strength of the magnetic field. Furthermore, the shear stresses boost by nearly 5.29% and 1.63% for the first and second solution branches, respectively, with the higher values of rotation parameter, while it drops by up to 8.67% in the first solution branch due to the higher influence of the magnetic parameter but boosts by nearly 15.61% for the second solution branch. However, compared to mono nanofluids, this drop in heat transfer rate is more pronounced in hybrid nanofluids.