Membrane-bound O-acyltransferase that mediates the incorporation of unsaturated acyl chains into the sn-2 position of phospholipids. a 1-acyl-sn-glycero-3-phosphate + an acyl-CoA = a 1,2-diacyl-sn-glycero-3-phosphate + CoA a 1-acyl-sn-glycero-3-phosphocholine + an acyl-CoA = a 1,2-diacyl-sn-glycero-3-phosphocholine + CoA a 1-acyl-sn-glycero-3-phosphoethanolamine + an acyl-CoA = a 1,2-diacyl-sn-glycero-3-phosphoethanolamine + CoA Belongs to the membrane-bound acyltransferase family.