Preheat oven to 400°F (Gas Mark 6). Mix cornmeal, flour, sugar, baking powder and salt in a large bowl.
Whisk eggs, Chobani, butter and oil and stir into cornmeal mixture.
Scrape batter into baking dish and bake until a toothpick inserted into the center comes out clean, 20 to 25 minutes. Cool completely on a wire rack before slicing.