Preheat oven to 325 degrees and line a 9-inch baking dish with aluminum foil.Spray with cooking spray.
In a medium bowl, whisk together the flour, baking soda, and salt.
In a large bowl, whisk sugar, melted butter, oil, and cream cheese together.
Add egg, egg yolk, lemon juice, lemon zest, and vanilla extract to sugar mixture and whisk until smooth.
Add flour mixture and mix in with a rubber spatula.Transfer batter to prepared pan, spreading it evenly.
Bake for 32 to 36 minutes. Let bars cool completley before glazing.
To make glaze, whisk together the lemon juice and cream cheese in a medium bowl. Whisk in confectioners' sugar until smooth. If too thick, add a little more lemon juice or a teaspoon of milk.Spread glaze over bars. Add sprinkles if desired. Let glaze set before cutting into squares.