Combine yeast, honey, and water in a bowl and let sit for 5 to 10 minutes until yeast is activated. Stir in the yogurt, oil, and salt until combined.
Add the flour and knead 3-5 minutes until the dough comes together, adding more flour as needed until dough is smooth and not sticky. Let rest 10-15 minutes.
Divide the dough into 12 balls and pat or roll into a flatbread shape, roughly 1/4 to 1/2 inch thick. They don't have to be perfect. Stack, making sure they are floured well to prevent sticking and cover with a towel 10-15 minutes or until grill is preheated.
Brush your grill with oil and preheat to high. Cook each flatbread 1-2 minutes per side, or until puffed and slightly browned. Serve warm with toppings of your choice.