The Caffeyl-CoA reductase-Etf complex catalyzes the reduction of caffeyl-CoA to yield hydrocaffeyl-CoA. It couples the endergonic ferredoxin reduction with NADH as reductant to the exergonic reduction of caffeoyl-CoA with the same reductant. It uses the mechanism of electron bifurcation to overcome the steep energy barrier in ferredoxin reduction. Also reduces 4-coumaroyl-CoA and feruloyl-CoA. hydrocaffeoyl-CoA + 2 NAD(+) + 2 reduced [2Fe-2S]-[ferredoxin] = (E)-caffeoyl-CoA + 2 NADH + 2 oxidized [2Fe-2S]-[ferredoxin] Binds 1 or 2 FAD per subunit. Part of the homotrimeric caffeyl-CoA reductase-Etf complex composed of (R)-2-hydroxyisocaproyl-CoA dehydratase CarC, and the electron transfer flavoprotein (ETF) alpha (CarE) and beta (CarD) subunits. Belongs to the acyl-CoA dehydrogenase family.