u/Navidhia

For the Béchamel:

8 tablespoons unsalted butter (4 ounces; 120 g)

3/4 cup all-purpose flour (3.4 ounces; 96 g)

1 quart (945 ml) whole milk

Kosher salt and freshly ground black pepper

Freshly grated nutmeg

2 ounces (1/2 cup; 60 g) shredded kefalotyri (see note)

4 large egg yolks (60 g)

For the Meat Sauce:

2 tablespoons (30 ml) vegetable oil

2 pounds (910 g) ground lamb or beef (at least 15% fat), or some combination (see note)

2 medium yellow onions (1 pound; 455 g total), diced

4 medium garlic cloves (20 g), minced

2 tablespoons (1 ounce; 30 g) tomato paste

2/3 cup (160 ml) dry red wine

One 28-ounce (794 g) can whole peeled tomatoes

1 cinnamon stick, broken in half

3 whole cloves

2 bay leaves

2 teaspoons dried oregano

Kosher salt and freshly ground black pepper

For the Vegetables:

Vegetable oil, for frying

2 medium eggplants (about 2 pounds; 910 g total), sliced crosswise into 3/4-inch-thick rounds

2 pounds (910 g) Yukon Gold potatoes (about 5 medium potatoes), peeled and sliced into 1/4-inch-thick rounds

Kosher salt

To Assemble:

2 ounces (1/2 cup; 60 g) shredded kefalotyri, for topping

For the Béchamel: In a medium saucepan, melt butter over medium-high heat. Add flour and whisk to form a paste. Cook, whisking constantly, until raw flour smell is gone but flour has not browned, about 1 minute. While whisking constantly, slowly pour milk in a thin, steady stream until all of it has been added (sauce will initially become very thick, then get very thin once all the milk is added). Continue to cook, stirring frequently, until béchamel comes to a simmer and begins to thicken slightly. Reduce heat to low and cook, stirring constantly, until béchamel is thick enough to coat the back of a spoon, about 5 minutes. Whisk in kefalotyri and season with salt, pepper, and nutmeg to taste. Transfer to medium bowl, cover with plastic wrap, pressing plastic against surface to prevent a skin from forming, and let cool for 15 minutes. Whisk in egg yolks then re-cover with plastic wrap flush against surface and set aside.

For the Meat Sauce: Heat oil in a large pot or Dutch oven over high heat until shimmering. Add half of ground meat and cook, stirring and scraping bottom of pot, until well browned, 6 to 8 minutes; use a potato masher or large whisk to break up meat as it cooks. Add remaining meat and cook, continuing to break it up with masher or whisk, until just cooked through and reduced to small bits, about 3 minutes; lower heat as necessary to prevent scorching. If there is excessive rendered fat, drain off all but about 1/4 cup (60ml). Add onion and garlic and cook, stirring and scraping bottom of pot, until just beginning to soften slightly, about 4 minutes. Add tomato paste and cook over medium heat, stirring, for 1 minute. Add red wine, then increase heat to high and bring to a simmer. Cook, scraping up any browned bits, until wine has almost fully evaporated. Add canned tomatoes and their liquid, cinnamon stick halves, cloves, bay leaves, and oregano. Return to a simmer, then reduce heat to low, and cook, stirring often and crushing the whole tomatoes roughly with a spoon, until sauce has reduced and thickened and meat is coated in a silky glaze, about 30 minutes. Discard cinnamon stick halves, cloves, and bay leaves. Season with salt and pepper to taste and set aside.

For the Vegetables (potato & eggplants): oven bake or grill them till soft

Assembly:

Potato first, then eggplant then meatsauce and finally bechamel

You can skip redwime for muslim friends