Preaheat oven to 400 degrees F. Grease 12 (2 1/2-inch) muffin cups or line with paper baking cups.
Combine flour, 2 tbs. cheese, baking powder and salt in a large bowl. Combine milk, oil and egg in a small bowl; stir until blended. Stir into flour mixture until just moistened. Do not overmix. Spoon into prepared muffin cups, filling one-third full. Stir pesto sauce; spoon 1 teaspoons sauce into each muffin cup. Spoon remaining batter evenly over pesto sauce. Sprinkle remaining 1 tbs. cheese evenly over batter.
Bake 25 to 30 minutes or until toothpicks inserted into centers come out clean. Cool in muffin pans on wire rack 5 minutes. Remove from pan and cool on wire rack 10 minutes.