Preheat your oven to 325°F (162°C) and grease a 13x9 inch baking pan. Lightly flour or line with parchment.
In a large bowl, whisk together flour, cornstarch, baking powder, baking soda, and salt.
In another bowl, whisk Greek yogurt with lemon juice and vanilla.
In a stand mixer, combine sugar and lemon zest. Rub them together until fragrant.
Add butter to the sugar mixture and beat for 2–3 minutes until pale and fluffy.
Mix in eggs one at a time, followed by the egg yolk. Beat well after each addition.
With mixer on low, alternate adding dry and wet ingredients, starting and ending with the flour mixture. Do not overmix.
Pour the batter into prepared pan and smooth the top.
Bake for 28 minutes or until a toothpick inserted in the center comes out clean.
While cake is hot, whisk together glaze ingredients until smooth.
Pour glaze over hot cake and spread evenly.
Cool completely in pan on a wire rack (about 1 hour).
Garnish if desired, slice into squares, and serve.
Store covered at room temperature up to 3 days.