We have studied the magnetic and electronic properties of double perovskites A₂FeReO₆ with A=Ba and Ca using ab initio methods based on density functional theory. It has been shown that when changing Ba by Ca the system undergoes a metal-insulator transition coincidentally to a structural phase transition, even if conduction band fillings are not significantly changed. Our results suggest that only considering a quite large correlation term on the Re site could explain an insulating character for Ca₂FeReO₆. Instead, we found that small correlations could induce a bad metallic behavior as suggested in more recent experiments.