Background and objective: Bioconvective flow of Reiner-Rivlin liquid subject to motile microorganism is communicated. Concept of magnetohydrodynamics for low magnetic Reynolds number is highlighted. Convective constraints for heat and mass are implemented. Thermal expression consists of dissipation and radiation. Joule heating and heat generation/absorption impacts are entertained. Brownian motion and thermophoresis behaviors are studied. Binary chemical reaction and motile microorganisms are taken. Methodology: Nonlinear expressions are converted into dimensionless equations through appropriate transformations. Nonlinear differential system is numerically computed. Results: Solutions are analyzed for velocity, microorganisms’ field, concentration and temperature. Coefficient of skin friction, microorganism density number, heat transport rate and concentration gradient via emerging variables are examined. Higher magnetic field has opposite impact on coefficient of skin friction and velocity. An increase in thermal field is detected for radiation and magnetic variables. Larger thermal Biot number intensifies the temperature. Larger approximation of solutal Biot number leads to enhance concentration. There is a reverse trend for heat transfer rate through radiation and random motion variables. Brownian motion and thermophoresis variables for concentration have opposite impacts. An increasing trend of solutal Biot number and Sherwood numbers is observed. Larger bioconvective Lewis number corresponds to boost up microorganism density number.