Preheat the oven to 320°F /160°C.
In a large bowl, mix Fage and sugar. Let it sit for five minutes until the sugar dissolves.
Add eggs, vanilla pudding, vanilla extract, and lemon zest, and mix with a spatula or a wooden spoon until combined.
Pour the batter over the crust and place it in the preheated oven.
Bake for 50 minutes, or until the cake is slightly golden on the edges and the center is slightly wobbly.