In a large bowl, mix together the flour and soy yogurt to form a dough, bringing it together with your hands toward the end. Set aside to rest for 30 minutes at room temperature.
Lightly dust a clean work surface with flour, and cut the dough in half. Cut each half into four pieces. Use a rolling pin to roll each piece to the size of a small plate.
Heat a flat pan over medium-high heat until hot. Rub each doughy flatbread with a little oil, then use tongs to place onto the hot pan. Cook for 20 to 30 seconds until golden-brown patches appear. Carefully turn the flatbread and cook the other side for 20 to 30 seconds. Repeat until each flatbread is cooked.