Place a large, deep pan over high heat and let it get very hot. Add all vegetables and some olive oil. Mix and sauté until they soften.
Add the canned tomatoes, pine nuts, thyme, and sugar. Lower the heat and simmer for about 35 minutes, until the sauce thickens.
Ηeat a broiler in the oven.
Transfer the contents of the pan to a 26 x 30 cm (10 x 12-inch) ovenproof baking dish. Sprinkle with feta cheese and cook under the broiler for 15 minutes.
When ready, remove from oven and serve warm.
Notes
Chef’s tip: If the eggplants are bitter, simply place them in a strainer, sprinkle with some salt and allow them to drain.