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This paper delves into the late-time accelerated expansion of the universe and the evolution of cosmic structures within the context of a specific \ (f (R, Lₘ) \) gravity model, formulated as \ (f (R, Lₘ) = R + Lₘ^ + \). To study the cosmological viability of the model, we employed the latest cosmic measurement datasets: i) 57 observational Hubble parameter data points (OHD) ; ii) 1048 distance moduli data points (SNIa) ; iii) a combined dataset (OHD+SNIa) ; and large scale structure datasets, including iv) 14 growth rate data points (f) ; and v) 30 redshift space distortion data points (f₈). These datasets facilitated the constraint of the \ (f (R, Lₘ) \) -gravity model via MCMC simulations, followed by a comparative analysis with the \ (\) CDM model. A comprehensive statistical analysis has been conducted to evaluate the \ (f (R, Lₘ) \) -gravity model's efficacy in explaining both the accelerated expansion of the universe and the growth of cosmic structures.
Sahlua et al. (Wed,) studied this question.