Micropolar Casson fluids exhibit complex rheological properties due to the presence of microstructure and has the potential of getting used in many fields, including biomedical engineering, materials science, industrial processes, aerospace engineering, and environmental engineering. The current study examines, the behavior of micropolar Casson fluids in a horizontal channel with heat transmission when a magnetic field is applied. Fluid flow in a channel is driven and maintained by the motion of the upper plate with constant linear velocity. The flow behavior is studied under different conditions, including changes in the Casson micropolar parameter, micropolar parameter and Hall parameter. The differential quadrature approach is employed with modified cubic-B spline (MCB-DQM) to solve the reduced non-dimensional governing partial differential equations for calculating the microrotation, temperatures and velocities profiles under acceptable physically boundary and interfacial conditions. The study identified the impact of various fluid parameters on linear velocity, microrotation and temperature profiles. It has been noted that an increment in the Casson micropolar, micropolar, and Hall parameters results in an increment in microrotation and velocity profiles, while an increase in the Reynolds number and square of Hartmann number results in a reduction in these profiles. Also, Temperature profile varies inversely with an increment in the time, square of Hartmann number, micropolar, Casson micropolar and Hall parameters, but may increase with the Prandtl number, Eckert and Reynolds number. The study's findings reveal a scientific basis for the development and optimization of numerical models and simulations for predicting fluid flow and heat transfer in different systems like design of microfluidic devices, electronic cooling systems, and material processing techniques, leading to improved performance and efficiency.