Baked Birthday Cake Doughnuts

INGREDIENTS

1 cup

all-purpose flour

7 tbsp

granulated sugar

1 tsp

baking powder

1/2 tsp

fine sea salt

1 tbsp

unsalted butter, melted

large Eggland's Best Egg, room temperature

1/3 cup

half and half (or heavy cream), room temperature

1 tsp

pure vanilla extract

1 tbsp

rainbow sprinkles

3/4 cup

powdered sugar

1 tbsp

half and half, or heavy cream

1/2 tsp

pure vanilla extract

pink food gel coloring, as needed