Gooey butter cake on-a-stick

Cake mix [wheat flour, sugar, cornstarch, canola oil, baking powder (sodium acid phosphate, sodium bicarbonate, cornstarch, monocalcium phosphate), salt, natural flavors, xanthan and/or guar gum], powdered sugar, eggs, cream cheese [pasteurized milk and cream, salt, stabilizers (xanthan and/or carob bean and/or guar gum)], butter with natural flavor (cream, natural flavor), soybean and/or canola oil and/or cottonseed oil, artificial flavor, potassium sorbate (preservative)