In a large bowl, sift the all-purpose flour, then add the dry yeast, salt, and sugar. Mix well.
Pour in the lukewarm water and olive oil, then start kneading the dough. Work it until it becomes smooth and elastic. Cover and let it rise for 1 hour.
Peel the kohlrabi, grate it or dice it into small cubes, then sauté it in a little olive oil for 5 minutes, until slightly softened.
Add the finely chopped garlic to the softened kohlrabi and sauté for another 1-2 minutes.
Divide the risen dough into two parts, then roll them out into circles on a floured surface.
Place the sautéed kohlrabi on one half of each dough circle, then sprinkle with grated mozzarella and Parmesan cheese.
Sprinkle the filling with oregano, basil, and a pinch of black pepper.
Fold the other half of the dough over the filling, then press the edges together to seal and prevent the filling from leaking out.
Brush the top with beaten egg, and poke a few holes with a fork to allow steam to escape during baking.
Bake in a preheated oven at 400°F (200°C) until golden brown, about 20 minutes.
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