Preheat the oven to 450.
Peel and slice the eggplants about 1”-1 ½“ thick, getting 6 pieces out of each eggplant. Sprinkle the eggplant slices with 1 tsp of the salt and set aside for 30 minutes to draw the moisture out of them. Use the oil to lightly grease a couple baking pans and season the eggplant with the remaining salt and pepper. Place the slices on the oiled pans and place in the oven until the tops begin to brown, about 10-15 minutes. Remove and transfer to a plate to cool at room temperature.
Lower the oven to 350.
In a lightly oiled 11” x 13” baking dish, place the 8 largest slices of eggplant, spaced evenly. Spoon ¼ cup of marinara over each slice, followed by 1 Tbl basil chiffonade, 1 slice buffalo mozzarella and 1 tsp grated cheese. Place the smaller slices of eggplant over this layer and repeat until all ingredients have been used.
Sprinkle 1 Tbl breadcrumbs over each stack and bake uncovered until the cheese melts and the tops begin to brown. This should take about 20 minutes. Serve immediately.