  We perform a detailed comparison between the Finsler-Randers cosmological
model and the Dvali, Gabadadze and Porrati braneworld model. If we assume that
the spatial curvature is strictly equal to zero then we prove the following
interesting proposition: {\it despite the fact that the current cosmological
models have a completely different geometrical origin they share exactly the
same Hubble expansion}. This implies that the Finsler-Randers model is
cosmologically equivalent with that of the DGP model as far as the cosmic
expansion is concerned. At the perturbative level we find that the
Finsler-Randers growth index of matter perturbations is $\gamma_{FR} \simeq
9/14$ which is somewhat lower than that of DGP gravity ($\gamma_{DGP} \simeq
11/16$) implying that the growth factor of the Finsler-Randers model is
slightly different ($\sim 0.1-2%$) from the one provided by the DGP gravity
model.
