In recent years, -ray emission has been detected from star-forming galaxies (SFGs) in the local universe, including M82, NGC 253, Arp 220 and M33. The bulk of this emission is thought to be of hadronic origin, arising from the interactions of cosmic rays (CRs) with the interstellar medium of their host galaxy. More distant SFGs would also presumably be bright in -rays, but these would not be resolved as point sources. Instead, they contribute -rays as unresolved sources to the extra-galactic -ray background (EGB). However, despite the wealth of high-quality all-sky EGB data from the Fermi-LAT -ray space telescope collected over more than a decade of operation, the exact contribution of SFGs to the EGB and the signatures their emission would imprint on the -ray sky remains unsettled. In this study, we model the -ray emission from SFG populations and demonstrate that such emission can be characterised by just a small number of key physically-motivated parameters. We further show that source populations would leave anisotropic signatures in the EGB, which could be used to yield information about the underlying properties, dynamics and evolution of SFGs rich in CRs over cosmic time.