• A Finsler–Randers cosmological framework is developed by incorporating anisotropic geometric corrections through a model-independent parametrization of the deceleration parameter q(z). • Cosmological parameters are constrained using a joint analysis of Cosmic Chronometers (CC), DESI BAO, and DES Y5 Type Ia supernova datasets. • The combined dataset yields the best-fit parameters H 0 = 68.16 ± 0.83 km s − 1 Mpc − 1 , η = 1.202 ± 0.017 , and ζ = 1.550 ± 0.032 . • The reconstructed expansion hist

