In a medium sauce pan melt the butter, once the butter is melted allow it to boil. Keep an eye on it, it will boil and then thick white foam will appear on top. Listen closely, once the butter stops making any popping noise, the butter is browned. Take off of the heat. Stir and you should see little brown bits and smell a nutty aroma.
Pour the browned butter into a medium sized glass bowl, add the brown sugar into the hot butter and stir. Allowing some of the sugar to dissolve in the butter.
Preheat your oven to 375 degrees
In a standing mixer add the browned butter mixture and granulated sugar. Whip until the butter has cooled.
Add in the eggs and vanilla, mix until combined.
Stop the mixer and pour in the flour, baking soda, salt and cream of tartar. Mix until combined and a dough is formed.
In a large plastic Ziploc bag, add the Cadbury eggs. Hit with a rolling pin to break the eggs up into smaller chunks. Pour the broken eggs into the dough and fold in.
Spread dough into a greased and parchment paper lined 9x13 pan
Bake for 16 minutes. Remove and allow them to cool before enjoying!