Abstract In this work, we reanalyzed 11 years of spectral data from the Fermi Large Area Telescope ( -LAT) currently observed starburst galaxies (SBGs) and star-forming (SFGs). We used a one-zone model provided by NAIMA hadronic origin to explain GeV observation SBGs SFGs. found that protonic distribution power-law form with an exponential cutoff can spectra most However, it cannot hardening co...