In this study, we investigate a traversable wormhole solution in linear matter-curvature coupled gravity by introducing a novel hybrid shape function. The proposed model incorporates a constant redshift function and a hybrid shape function considering as \(b(r) = r_{0}^{n}e^{(r_{0}-r)}r^{1-n}\) where \(r_0\) is the throat radius. We analytically bring into existence expressions for matter distribution components, and examine the fulfillment of standard energy conditions. Notably, null, weak, and dominant energy conditions can be satisfied simultaneously for suitable choices of the coupling parameters, eliminating the need for exotic matter. Furthermore, a detailed stability analysis based on the generalized Tolman-Oppenheimer-Volkoff equation reveals balancing configurations. Our results highlight that modified gravity models, such as \(f(R,L_{m},T)\) , offer viable mechanisms for constructing physically acceptable wormholes without violating classical energy constraints. This situation is quite remarkable as it shows that it is possible to create bridges that will provide the infrastructure in question with non-exotic matter types by revisiting the physical contribution of the relevant theory taken into account in this study in research topics that remain fantastic, since we cannot create exotic matter-like usable versions of the infrastructure required to provide important, but appropriate conditions, such as space and time travel, teleportation, transition between different space-time manifolds with today’s technologies.
