The electromagnetic counterparts (EMC) of gravitational wave (GW) events arising from the coalescence of two merging compact objects, namely a neutron star paired with another neutron star (NSNS)/black-hole (BHNS), have become increasingly topical over the last few years following the GW170817A. In this study, we explore the host environments and offsets of these binaries upon merging. This is accomplished by seeding and dynamically evolving synthetic isolated systems within hydrodynamical galaxies produced by the cosmological simulation, EAGLE. This approach also allows for constraints to be placed on the relative cosmic rate of EM bright binary mergers. Using constraints on the mass ratio of the primary and secondary compact objects, we explore the likelihood of observing potential short-duration gamma-ray bursts (SGRBs) using the Swift/BAT instrument resulting from these systems and compare them to real observations.