Preheat the oven to 330°F (165°C). Line a 9x13-inch glass baking pan.
Make the crust by combining melted butter, sugar, vanilla extract, and salt using a medium bowl. Add flour and stir until combined.
Press the dough into the prepared pan and bake it for 20 minutes.
Once done, make holes in the baked crust with a fork or a pastry cutter. Keep the oven open.
Sift sugar and flour. Whisk in eggs and fresh lemon juice until smooth.
Pour the filling over the crust and bake for 25 minutes.
Let the crust cool completely, then chill in the refrigerator for 2 hours.
Dust with powdered sugar and slice into squares with a sharp knife.