In this paper, we employ one variant of the Generalized Uncertainty Principle (GUP) model, i.e., Kempf-Mangano-Mann (KMM) and discuss impact GUP on EoS nuclear neutron star matter based Relativistic Mean Field (RMF) model. We input result in Serrano-Li\v{s}ka (SL) gravity theory to corresponding Neutron Star (NS) properties. have shown that upper bound for parameter from properties is $\beta \l...