“…In this paper, we follow another approach applied by S. Mondal et al [84], which is a comprehensive study to reveal the impact of curvature of the different cosmological backgrounds with various kinds of matter distribution on waveforms of GWs in standard Einstein gravity (see also [85] in a similar analysis for braneworld scenarios). We consider some modified theories of gravity with non-minimal coupling between matter and geometry in flat Friedmann-Robertson-Walker (FRW) metric, to study how different values of the equation of state parameter and the modification terms represented as dark energy, determine the amplitude of the wave and its governance period.…”