The aim of this paper is to investigate the flow, heat, and mass transfer qualities in a Casson liquid overflow over a stretching/shrinking sheet in the presence of transverse magnetic field by considering diffusion-thermal, thermo-diffusion, chemical reaction, and hall effects. This investigation is carried out by studying the influence of selected governing parameters, namely, chemical reaction, Hall, suction/blowing, and Soret and Dufour number on the respective flow profiles of velocity, temperature, and concentration and their corresponding effect on the skin-friction coefficient, local Nusselt number, and Sherwood number. The nonlinear governing equations are transformed into nonlinear partial differential equations and solved with the efficient paired quasilinearization method that seeks to decouple a large system of equations into coupled pairs of equations by linearizing two functions and their corresponding derivatives at a time. The study reveals that increasing the value of chemical reaction, Hall, Dufour and Soret parameters significantly impacted on the flow profiles. The results suggest that while increasing chemical reaction and Dufour number decreases velocity and concentration of the liquid, the Hall parameter increases them while decreasing the secondary velocity and temperature. Applications of the study arise in magnetic field control of materials processing systems, electric transformers, manufacture processes in plastic and polymer etc.