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. The electron transfer flavoprotein (Etf) mediates the electron transfer between the different donors and acceptors. The complex can also reduce 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 FAD per subunit. Binds 1 AMP 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 ETF beta-subunit/FixA family.