Combine yeast with 1/3 cup lukewarm milk and 1/3 cup warm water.
Add sugar, flour, salt, eggs, and butter. Knead using preferred method until the dough is elastic. Form the dough into a ball, place it in a greased bowl, turn it to cover the top, cover with plastic wrap, and let rise until doubled (1-2 hours).
Once the dough has doubled in size, combine cinnamon and sugar in a small bowl or cup.
Divide dough into 12 equal parts. Roll out each section into a rectangle, about 1/4 inch thick. Sprinkle apple bits cinnamon-sugar mixture onto the dough. Roll each section of dough up then pull the sides together to form a tight ball.
Place rolls on a baking sheet lined with parchment paper. Cover rolls with a towel and let them rise until doubled again (1-2 hours).
Near the end of the proofing time, preheat oven to 350 degrees Fahrenheit.
Once the rolls have at least doubled in size, brush on the egg wash to cover the top of each roll.
Bake for 17-18 minutes, until golden.
0 servings