Step 1: Split the embryonic suspensions. The gut hangs by a dorsal mesentery posteriorly and a ventral mesentery anteriorly, and each gives rise to distinct adult structures.
Step 2: Follow the dorsal sheet. Its stomach segment, the dorsal mesogastrium, balloons inferiorly to form the apron-like greater omentum, while its colonic segment forms the mesocolon.
Step 3: Assign the distractors elsewhere. The ventral mesentery produces the lesser omentum and the falciform ligament, and it also houses the developing liver. The diaphragm has multiple separate origins. Therefore only the greater omentum maps to the dorsal mesentery.
The dorsal mesogastrium is the key link.\[\boxed{\text{Greater omentum}}\]