Mix together the butter, the sugar, and the vanilla extract, until pale and creamy.
Add the egg and egg yolk and mix until combined after each one.
Add the flour and the salt, and mix until combined.
Wrap it in plastic film and refrigerate for at least 2 hours.
After the dough is chilled, place it between 2 pieces of parchment paper and gently roll it to about 1/8-inch (4 mm) thick.
Place the bunny template on top of the rolled dough sheet, and trace around the template with a sharp knife, cutting out the shape of the bunny. Repeat this 2 times, so you'll have two bunny-shaped layers.
Bake the layers one at a time, at 350°F (180°C) for 12 mins, or until the edges are a light golden brown.
Allow cooling before transferring to the serving platter.