In the bowl of a stand mixer, combine the milk, honey, egg, oil, pumpkin puree, and salt.
Add 1 ½ cups of flour, the cinnamon, and pumpkin pie spice and mix together. Allow to rest for 15 minutes.
Add another ½ cup of flour and the yeast. The dough should start pulling away from the sides of the bowl. Add the rest of the flour if needed. Knead until you reach windowpane.
Cover and place in a greased bowl in a warm place and allow to rise until it is doubled in size.
In a small bowl, melt the better.
In a second medium bowl combine the sugar and cinnamon.
Grease a 9 inch pie plate or cake pan.
Using a bench knife or something similar, cut off small pieces of dough. About the size of 2-3 tablespoons. Roll them into tight balls. Use a little oil on your hands if they are sticking.
Roll each dough ball into the melted butter until coated, then dip in the cinnamon-sugar mixture.
Place the buttered and sugared dough balls into the greased pie plate.
Place in a warm place to allow to rise for 30-45 minutes or until puffy.
Preheat the oven to 350 degrees F.
Pour any leftover melted butter and cinnamon and sugar over top of the risen dough balls.
Bake for 22-28 minutes until golden brown on top and cooked through.
Prepare the glaze by combining all of the ingredients together and pour it over top of the monkey bread.