Grill the eggplants under the broiler until soft inside and blackened on the outside, about 10 minutes on each side. Peel off the blackened skins but do not remove stems. Flatten eggplants with the back of a fork into a fan-like shape. Set aside.
Heat the 2 tablespoons of oil in a frying pan for 1 minute. Sauté the onions until soft, then add garlic and sauté u