In a stand mixer fitted with a dough hook, or by hand, combine the semolina flour, salt, and olive oil.
Add the water ¼ cup at a time, waiting until it is completley combined before adding more.
Knead for 5 minutes. Cover and let rest for 30 minutes.
Place a baking stone in your oven and heat it to 500° F.
Dust your countertop with semolina flour and roll out the dough as thin as you can get it.
Spread a layer of sauce, eggplant, and cheese over the dough.
Fold the sides in horizontally, so they meet in the middle. Do not completely fold it in half.
Spread another layer of sauce, cheese, and eggplant on top.
Fold the sides in vertically, so they meet in the middle. Do not completely fold in half.
Spread one more layer of sauce, cheese, and eggplant.
Fold in half like you're closing a book.
Place the scaccia on a piece of parchment paper. Place it on your baking stone and bake for 10 minutes.
Reduce the heat to 400° F and bake for an additional 40 minutes.