Catalyzes the second step in the formation of ornithine lipids, which are phosphorus-free membrane lipids. Uses acyl-acyl carrier protein (acyl-AcpP) as an acyl donor and converts lyso-ornithine lipid (LOL) into ornithine lipid (OL). a fatty acyl-[ACP] + a lyso-ornithine lipid = an N(2)-[(3R)-3-(acyloxy)acyl]-L-ornithine lipid + holo-[ACP] Lipid metabolism. Induced under phosphate limiting conditions. Mutant shows no significant growth defect. Belongs to the 1-acyl-sn-glycerol-3-phosphate acyltransferase family. OlsA subfamily.