Melt the butter in a medium saucepan. Stir in the flour and cook for a couple minutes. Slowly add the chicken broth and whisk until it comes to a boil. Continue cooking until it starts to thicken.
Remove from the heat and whisk in the lebneh, salt, and green chili. Poor the sauce evenly over the enchiladas and sprinkle the cheese on top.
Bake at 400°F (200°C) for 20 minutes until the sauce is bubbly.
Sprinkle with diced tomato, green onions, and cilantro (optional). Enjoy!