In a 10 by 14 by 2-inch ceramic baking dish, spread a third of the marinara sauce. Arrange a third of the eggplant on top in one layer. Scatter a third of the basil, a third of the mozzarella, a third of the goat cheese, and a third of the Parmesan on top. Repeat twice, starting with the marinara and ending with the Parmesan, making sure each layer is evenly distributed.