Countless engineering applications rely on heat and mass transportation technologies. Limitations in thermal conductivity and mass diffusivity are common in conventional fluids. Nanofluids, which are essentially base fluids with nanoparticles suspended in them, have superior thermal characteristics than base fluids without the nanoparticles. Maxwell hybrid nanofluids have the potential to improve mass and heat transport even further by combining the characteristics of two different types of nanoparticles. The magnetohydrodynamic (MHD) flow and heat transmission properties of a Maxwell hybrid nanofluid through a flat plate are investigated in this work. The novelty of this research lies in its exploration of the combined impressions of couple stress and activation energy on the flow behaviour. The equations governing the problem undergo transformation and are handled by means of the bvp4c solver. The vital discoveries disclose that the nanoparticle concentration and magnetic field strength act as opposing forces to fluid velocity. And also, it is detected that the friction coefficient rises by 2.68% as the value of volume fraction of copper nanoparticles ranges from 0 to 0.105. It is found that there is a decrement of 29.7% in the heat transmission rate when the values of Eckert number lie between 0 and 0.6. It is observed that the reaction rate and activation energy parameters play opposite roles against fluid concentration. It is discovered that the entropy generation increases with factors that enhance friction and heat dissipation (Maxwell and Brinkman parameters). The results show that the Sherwood number drops 4.4% when the activation energy parameter is set to values between 0 and 3.