Beat the eggs with the sugar and powdered sugar. Pour in the melted, cooled butter and beat again. Add the cream cheese and continue beating.
Sift the flour, baking soda, and baking powder into a bowl, mix, and beat with a mixer. Add the vanilla extract right at the end.
Transfer the batter to a piping bag and pipe into silicone molds, filling them halfway.
Bake at 180°C for 18-20 minutes - check doneness with a dry toothpick.
Let the cupcakes cool completely, remove from the molds, and top with frosting.