Preheat the oven to 400°F (200°C).
In a large mixing bowl, whisk together the all-purpose flour, baking powder, and salt until well combined.
Add the plain Greek yogurt and 2 tablespoons of olive oil to the dry ingredients.
Using a wooden spoon or your hands, mix until a sticky dough forms.
Lightly flour a clean surface and transfer the dough onto it.
Knead the dough gently for about 2 minutes until it comes together but remains soft.
Place the dough on a baking sheet lined with parchment paper.
Using your fingers, gently press and stretch the dough into a roughly 9×12 inch rectangle.
Drizzle a little olive oil over the top of the dough.
Sprinkle the dried rosemary, garlic powder, and coarse sea salt evenly over the dough.
Use your fingers to create dimples all over the surface of the dough.
Bake in the preheated oven for 20 to 25 minutes or until the focaccia is golden brown and cooked through.
Remove from the oven and let cool slightly before slicing and serving.