Combine yogurt, milk, eggs, and 3 Tbsp. oil. Mix well. In another bowl, combine flours, oats, baking powder, and soda. Mix well. Gently fold wet ingredients into dry until moistened. Avoid overmixing.
Lightly grease a nonstick skillet with remaining oil and heat on medium heat. Working in batches, spoon 1/4 cup batter onto the skillet. Cook until golden and bubbling (2–3 minutes), then turn and continue to cook 1 minute.