In a small bowl, dissolve the yeast and a pinch of sugar in the warm water. Let it sit for about 5 minutes until frothy.
In a large mixing bowl, combine the flour, salt, and remaining sugar.
Add the milk, egg, and softened butter to the dry ingredients. Mix until well combined.
Pour in the yeast mixture and stir until a dough forms. Knead the dough on a lightly floured surface for about 5 minutes, or until smooth and elastic.
Place the dough in a lightly greased bowl, cover with a cloth, and let it rise in a warm place for about 1 hour, or until doubled in size.
Punch down the dough and turn it out onto a lightly floured surface. Roll the dough to about 1/4 inch thick.
Cut the dough into oval shapes, roughly 5-6 inches long.
Heat about 2 inches of vegetable oil in a large pot or deep fryer to 350째F (175째C).
Carefully place the dough ovals into the hot oil, a few at a time, and fry until golden brown, about 1-2 minutes per side.
Remove the fried BeaverTails with a slotted spoon and drain on paper towels.
In a small bowl, combine the granulated sugar and ground cinnamon.
While the BeaverTails are still warm, sprinkle the cinnamon sugar mixture over them.
Optionally, drizzle with chocolate sauce, caramel sauce, or other toppings of your choice.
Enjoy your meal!