Catalysis of the reaction: 2 3-acyl-sn-glycero-1-phospho-(1'-sn-glycerol) = 3-acyl-sn-glycero-1-phospho-(3'-acyl-1'-sn-glycerol) + sn-glycero-1-phospho-(1'-sn-glycerol).
Catalysis of the reaction: a 1,2-diacyl-sn-glycero-3-phospho-(1'-sn-glycerol) + NAD+ = a 1,2-diacyl-sn-glycero-3-phospho-(1'-sn-glycerone) + NADH + H+.