Melt butter with olive oil in a skillet over medium heat. When the butter is melted, add the leeks and scallions and ¼ tsp salt and ¼ tsp pepper. Cook, stirring occasionally, for about 5 minutes, until the leeks and scallions are soft.
Put the leek/scallion mixture in a medium bowl and stir in the chopped mint and parsley.
Using the same skillet you cooked the leeks in, add the ground lamb over medium-high heat, breaking up with a spatula as it cooks. Cook until browned, about 6 minutes.
While the lamb is cooking, pre-heat the oven to 500 degrees and lightly flour two 12-inch round pans (can also do one at a time). Divide flatbread dough into two and on a lightly floured surface, roll each out into two thin 12-inch circles. You may have some excess dough left over. Place each round on prepared baking sheets.
Lightly brush each dough round with olive oil and leaving a ½-inch border on the dough, equally divide the leek mixture, lamb, and feta across the two dough rounds. Add red pepper flakes and remaining salt and pepper.
Bake for about 12 minutes, or until flatbreads are turning golden and getting crispy on the edges.
Garnish with more fresh mint. Slice and serve.