In the bowl of a stand mixer fitted with a paddle attachment, combine 2 cups all-purpose flour with whole wheat flour, oats, brown sugar, pumpkin pie spice, salt, sugar, and yeast. Mix until thoroughly combined.
In a small bowl, whisk together warm water, pumpkin puree, applesauce, oil, and eggs. Pour into dry mixture and beat until combined. Slowly add in the remaining all-purpose flour. It will form a thick, stiff dough.
Change to bread hook attachment and knead for 4-5 minutes until the dough is elastic. (You can do all the mixing and kneading by hand, too, of course. But it's a heck of a lot easier with a stand mixer!)
Place the dough in a large bowl greased with non-stick spray. Cover with plastic wrap. Place in a dark, warm place and allow to rise for about an hour or until just about doubled in size.
Once risen, punch down the dough and divide in half. Roll out into a large rectangle (about 18 x 9 inches). Brush the rectangle with melted butter, then sprinkle with brown sugar and cinnamon or pumpkin pie spice.
Starting with the long size, roll up the dough (jelly roll style) and pinch the seams. Repeat this process with the remaining ball of dough.
Preheat oven to 350°F. Grease 2 9x5 inch loaf pans. Place rolled up dough into prepared pans. Cover and allow to rise, again, for 30-45 minutes or until the dough doubles and fills most of the pan.
Bake loaves for 55 minutes to 1 hour until the outside has formed a light brown crust. (If it starts to brown too much, just cover with foil until the bread is finished baking.)
Cool in pans for about 10-15 minutes, then remove and cool for another hour or so on a wire rack before cutting for best slicing results. If you don't mind crumbly slices, eat warm from the oven! :)