Turn the oven on and set the heat to 400 degrees. Lightly grease the baking sheet with 2 teaspoons oil.
Put the flours, salt, and baking powder in the bowl and stir well.
Add the water and olive oil and stir well. If the dough needs more liquid to come together, add water, 1 tablespoon at a time, until it does.
Scoop the dough onto the oiled pan, then oil your hands and fingers and start gently pressing and flattening the dough. Take your time and work from the middle out toward the edges. You want the dough to cover (or nearly) the bottom of the pan, and it might take a while to press it flat and thin without tearing it.
Drizzle the dough with the sauce and use the back of the spoon to spread it to the edges.
Sprinkle the sauce with cheese, then add the toppings.
Once the oven temperature has reached 400 degrees, bake until the crust is lightly browned and the toppings look cooked, 10 to 15 minutes.
Serve right away.