We investigate a two-orbital model for iron-based superconductors to elucidate the effect of interplay between electron correlation and Jahn-Teller electron-phonon coupling by using the dynamical mean-field theory combined with the exact diagonalization method. When the intra-and inter-orbital Coulomb interactions, U and U ′ , increase with U = U ′ , both the local spin and orbital susceptibilities, χ s and χ o , increase with χ s = χ o in the absence of the Hund's rule coupling J and the electron-phonon coupling g. In the presence of J and g, there are distinct two regimes: for J > ∼ 2g 2 /ω 0 with the phonon frequency ω 0 , χ s is enhanced relative to χ o and shows a divergence at J = J c above which the system becomes Mott insulator, while for J < ∼ 2g 2 /ω 0 , χ o is enhanced relative to χ s and shows a divergence at g = g c above which the system becomes bipolaronic insulator. In the former regime, the superconductivity is mediated by antiferromagnetic fluctuations enhanced due to Fermi-surface nesting and is found to be largely dependent on carrier doping. On the other hand, in the latter regime, the superconductivity is mediated by ferro-orbital fluctuations and is observed for wide doping region including heavily doped case without the Fermi-surface nesting.