Abstract
In this letter, we investigate cosmology within the framework of modified f ( Q , L m ) gravity using the non-linear model f ( Q , L m ) = − Q + α L m n + β , where α , β , and n are free parameters. The modified Friedmann equations are derived for a matter-dominated universe, and an analytical solution is obtained. Using Hubble, Pantheon+, and joint datasets, we constrain the model parameters and examine their implications. The results indicate that the model accommodates varying H 0 values, contributing to the Hubble tension, while n ≠ 1 suggests deviations from general relativity (GR). The deceleration parameter confirms a transition to acceleration at z t ≈ 0.6 − 0.8 , with present values supporting cosmic acceleration. This model offers a viable alternative to GR-based cosmology.