Heat oil in a large skillet over medium heat. Add onions and peppers and season with a pinch each of salt and pepper. Cook, stirring frequently, until tender, about 8-10 minutes.
In a small bowl, whisk eggs and season with salt and pepper to taste. Pour eggs into onion and pepper mixture and scramble until cooked.
Toast the bread halves and pile the mixture high onto each.
Top with yogurt, drizzle with olive oil, and serve immediately.