Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
In a large mixing bowl, whisk together the flour, baking powder, sea salt, garlic powder, and nutritional yeast until well combined.
Add the Greek yogurt to the dry ingredients and use a spatula to fold it in until a shaggy dough forms.
Turn the dough out onto a lightly floured surface and knead gently for 1 to 2 minutes until the dough is smooth and no longer sticky.
Divide the dough into 6 equal portions and roll each piece into a long rope, about 8 inches in length.
Place the breadsticks on the prepared baking sheet, leaving space between each one.
In a small bowl, whisk the egg and brush it generously over the top and sides of each breadstick.
Sprinkle the parmesan cheese, dried oregano, and black pepper evenly over the egg-washed dough.
Melt the ghee and lightly drizzle it over the breadsticks to ensure a crisp, golden finish.
Bake for 12 to 15 minutes, or until the breadsticks are puffed and beautifully browned.