Over a wood or charcoal fire or an open flame on the stovetop, grill the eggplant until fully charred. Transfer to a bowl and cover tightly with plastic wrap. The eggplant will steam in the bowl as it cools and the skin will loosen. Once cool, peel the eggplant. Rinse under lightly running water if necessary to remove the charred bits.
Transfer the peeled eggplant to the bowl of a blender. Add the garlic and oils and purée until smooth, about 2 minutes. Season with salt and lemon juice and set aside.
In a small bowl, combine the yogurt, honey and 1 teaspoon of the ground cardamom. Season with salt, mix well and set aside.
Season the pork with salt. In a large sauté pan over high heat, sauté in the pork fat until golden. Transfer to a platter to rest.
Pour off the fat from the pan. Return the pan to the stove over low heat. Add the orange peel, remaining 1 teaspoon cardamom, and the grains of paradise and cook for 1 minute. Stir in 2 tablespoons of water and the pomegranate molasses, scraping the browned bits from the pan. When the sauce has thickened slightly, remove the pan from the heat.
Cut the pork into 2-inch pieces and divide among 4 dinner plates. Garnish with the eggplant purée and honey yogurt. Top the meat with the pomegranate sauce and fresh pomegranate seeds and serve immediately.