<p>This model has applications including the development of effective cooling applications in microelectronics, the improvement of energy storage devices and the enhancement of chemical reactors with heat and concentration gradients. Furthermore, it has applications in biomedical systems, oil recovery, nuclear reactors and environmental engineering, where accurate prediction of hybrid nanofluid behavior under reactive and non-equilibrium situations is crucial for improving performance and safety. The impact of heat generation on the chemical reactive flow of hybrid nanofluid in the existence of porous medium using modified Hamilton–Crosser model is examined. The effects of Soret and Dufour numbers in the modeling and LTNE (local thermal non-equilibrium) conditions are taken into account. The shooting technique and the Bvp4c scheme are used to numerically solve the equations system once it has been simplified using the proper similarity transformations. The enlarging magnetic parameter reduced the flow field but growing hybrid nanofluid phase heat transport. The growing Soret and Dufour numbers values improve the concentration and thermal profiles of hybrid nanofluid. The solid phase Nusselt number increased by approximately 9.4% as the heat transfer inter-phase parameter H was raised from 0.3 to 0.5. The study provides insights into optimizing HNFs-based thermal management applications.</p>