Preheat the oven to 400 degrees F (200 degrees C). Lightly grease an 8-inch square baking pan.
Whisk flour, cornmeal, sugar, baking soda, and salt together in a large bowl. Stir in yogurt and eggs until just combined; do not overmix. Pour batter into the prepared pan.
Bake in the preheated oven until the center springs back when lightly pressed, 20 to 25 minutes.