In a large nonstick pot, drizzle olive oil on the bottom.
Sprinkle a small handful of rice to create a base.
Layer the potatoes, then cauliflower, then eggplant.
Add the cooked lamb pieces on top of the vegetables.
Spread the seasoned rice evenly over the meat.
Pour the broth gently over the rice — it should cover it by about 1 inch.
Place a heat-proof plate directly on top of the rice (this keeps the layers from shifting).
Bring the pot to a boil over medium-high heat.
Once boiling, reduce to low heat, cover, and cook for 20–25 minutes, or until the rice is tender and the broth is absorbed.