Acyl-CoA-dependent lysophosphatidic acid acyltransferase with preference for oleoyl-CoA. Involved in triacylglyceride homeostasis and lipid droplet formation. Involved in vacuolar protein sorting (By similarity). a 1-acyl-sn-glycero-3-phosphate + an acyl-CoA = a 1,2-diacyl-sn-glycero-3-phosphate + CoA Lipid droplets consist of a surface phospholipid monolayer and a hydrophobic interior. The latter makes embedding of proteins containing transmembrane segments difficult, and these may instead adopt a hairpin or monotonic conformation when associated with lipid droplet membranes (By similarity). Belongs to the 1-acyl-sn-glycerol-3-phosphate acyltransferase family.