Preheat your oven to 400°F and line a large baking sheet with parchment paper.
In a medium mixing bowl, combine the self-rising flour, non-fat Greek yogurt, and egg white, stirring until a shaggy dough forms.
Turn the dough onto a lightly floured surface and knead for 1-2 minutes until the dough is smooth and no longer sticky.
Roll the dough into a rectangle approximately 1/2-inch thick and use a pizza cutter to slice it into 8 even strips.
Transfer the strips to the prepared baking sheet and bake for 12-15 minutes until they are firm and lightly golden.
While the breadsticks bake, melt the ghee in a small bowl and whisk in the garlic powder, dried oregano, sea salt, and black pepper.
Remove the breadsticks from the oven, brush each one generously with the garlic ghee mixture, and sprinkle the grated Parmesan cheese evenly over the top.
Return the pan to the oven for an additional 2-3 minutes until the cheese is melted, bubbly, and crisp.