Melt butter and combine with the sugar in a large bowl. Mix until no lumps remain.
Allow to cool for several minutes, then add the egg and yolk, and mix until completely combined.
Stir in the vanilla.
In a separate bowl, combine the flour, baking powder, baking soda, cinnamon, nutmeg and salt.
Stir the carrots in with the dry ingredients and mix until carrots are uniformly distributed.
Stir the dried ingredients/carrots into the wet ingredients until smooth. The batter will be quite thick.
Heat waffle iron according to product manual.
Add 1.5 tablespoons batter to the iron. Cook for 1.5-2 minutes*, until bottom is golden brown. Tilt the waffle iron onto its side and gently loosen the waffle bites.
Allow the waffle bite to cool on a wire rack. Repeat with remaining batter.