Heat a nonstick skillet over medium-high heat until hot. While the skillet is heating, prepare the flatbread dough.
In a medium mixing bowl, whisk together the flour, baking powder, and salt. Add 5 tablespoons of yogurt, 1 tablespoon honey, and the olive oil. Mix until it forms into a dough. Divide the dough into two equal portions. Lightly flour a surface and roll into an oval, about 8x5 inches and slightly less than ¼-inch thick. Cook for about 2 minutes per side or until golden on both sides.
Spread ¼ cup of yogurt on each flatbread, top with berries and a drizzle of honey, and serve.