This is from AllEarsNet. These are the beignets served at PO but I'm sure they are the same all over WDW:
Ingredients
1 pack dry yeast
1/2 cup sugar
2 eggs
7 cups flour
1 1/2 cups warm water
1 tsp Salt
1 cup undiluted evaporated milk
1/4 cup soft shortening oil, for frying
Confectioner's sugar
Method
In a large bowl, sprinkle yeast over water, stir to dissolve. Add sugar, salt, eggs, and milk. Blend with rotary beater. Add 4 cups of the flour. Cover and chill overnight. Roll out on floured board to 1/8" thickness. Cut into 2 1/2" squares. Deep fry at 360 degrees 2-3 minutes or until lightly browned on both sides. Drain on paper towels. Sprinkle heavily with confectioner's sugar. Makes about 5 dozen.
NOTE: Dough keeps well in refrigerator for several days. Cover bowl with plastic wrap and punch down occassionally.