Catalysis of the reaction: CDP-abequose + D-mannosyl-L-rhamnosyl-D-galactose-1-diphospholipid = CDP + D-abequosyl-D-mannosyl-rhamnosyl-D-galactose-1-diphospholipid.
CDP-abequose:D-mannosyl-L-rhamnosyl-D-galactose-1-diphospholipid D-abequosyltransferase activity