This research focuses on non-Newtonian stagnation-bioconvective point flow near a stretched cylinder along the Reiner-Rivlin model. The study incorporates thermal and mass transfers, considering thermodynamic diffusion, bioconvection, and viscous heating. Entropy production analysis is included to assess the inherent uncertainty in transport processes. The computational framework is developed under prescribed wall temperature and concentration conditions, which are essential for achieving self-similar solutions. Numerical findings are collected using MATLAB's "bvp4c" technique. The numerical outcomes are validated by comparing them with solutions for specific parameter values. The impact of curvature on boundary layer behavior is investigated for a range of governing parameters. For Reiner-Rivlin fluids, the skin friction coefficient is calculated to determine the force exerted by the straining cylinder. Additionally, a rise in the Reiner-Rivlin fluid factor causes a reduction in the surface cooling rate. Mainly the flow patterns observed by considering the quantity of parameters as [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] on all profiles.