The exploration of electroosmotic peristaltic flow in asymmetric channels using hybrid non-Newtonian nanofluids holds significant promise across multiple domains. From microfluidics and electronics cooling to energy systems and biomedical applications, its implications are vast. By leveraging the distinctive attributes of nanofluids and the precision offered by electroosmotic and peristaltic flow, this research has the potential to drive the development of more efficient and innovative designs in these diverse fields. The current investigation reveals an analysis of heat transfer concerning hybrid nano liquid based on water. This nano liquid is influenced by both electroosmosis and peristalsis, operating simultaneously. Within this water-based hybrid nanofluid, there are nanoparticles composed of copper and iron oxide (Fe2O3−Cu/H2O). The study investigates into characteristics of flow and heat transport processes, considering key factors such as the applied electric and magnetic fields, thermal conductivity, mixed convection, shape of nanoparticles, variable viscosity, and assumptions related to Ohmic heating. Thermal and velocity slip boundary conditions are considered. To handle the analysis, the Poisson-Boltzmann equation is approximated using the Debye-Hückel approximation. The governing equations are then simplified using lubrication approximation. To solve the resulting system of dimensionless differential equations, NDSolve build in command of computational package Mathematica is employed. The outcomes of study affirm that inclusion of nanomaterials plays a vital role in enhancing heat transfer processes. Specifically, an increase in Joule heating and electromagnetic parameters contributes to a higher heat transfer rate at the boundary. Additionally, the incorporation of nanomaterials leads to a decrease in the flow rate of the nanofluid due to an increase in Helmholtz-Smoluchowski velocity. Furthermore, the heat transfer rate at wall diminishes as the Hartman number and Helmholtz-Smoluchowski velocity are increased. Showcasing the potential to enhance heat transfer, microfluidic devices, and various systems by harnessing the distinctive characteristics of hybrid nanofluids and regulating flow through peristaltic and electroosmotic methods. Providing insights into potential applications and industries that could profit from these findings, including microfluidics, electronics cooling, biomedical devices, and energy systems.