To prepare a French silk pie baked goods recipe, first preheat the oven to 350 degrees F (177 degrees C) and grease and flour two 9x5-inch baking pans. Using an electric mixer fitted with the paddle attachment, beat the egg whites on medium speed until stiff peaks form. Gradually add the sugar, beating after each addition until the mixture is light and fluffy, about 2 minutes. Add the vanilla and beat until combined. Pour the batter into the prepared pan and bake in the preheated oven for 35 to 40 minutes or until golden brown. Allow to cool before serving.