In a large mixing bowl of a stand mixer dissolve the yeast in the warm water. Add the warm milk, sugar, and eggs.
Add the dough hook attachment, and stir in the flour and salt. Scrape the bottom and sides of the bowl occasionally with a rubber spatula. Cut the butter into small pieces and incorporate into the dough. Scrape the bowl a few times. Beat the dough until it becomes smooth, about 5-7 minutes.
Turn the dough out onto a lightly floured work surface and knead for 5-6 minutes, making a smooth dough. This dough is going to be sticky when you turn it out. After kneading, shape into a round ball and place back into the greased mixing bowl. Cover with plastic wrap or reusable plastic shower cap and drape with a clean kitchen towel. Place in a warm area and let rise until doubled in size, about 1 hour.
Turn the dough out onto a lightly floured work surface and knead the dough for a few minutes. Turn back into the greased bowl (spray with cooking spray or use a pastry brush to brush on vegetable shortening again if needed). Cover with plastic wrap or reusable plastic shower cap and let rise again until doubled, 30 minutes to 1 hour.
Refrigerate the dough for 2-4 hours or overnight.
In a medium mixing bowl, combine granulated sugar, brown sugar and ground cinnamon. Adjust the cinnamon to your liking. Cover with plastic wrap to stay fresh and set aside.
Turn the chilled dough out onto a lightly floured work surface and roll out with a rolling pin. Making it into a rectangle shape, about ½-3/4-inch thick.
Spread the melted butter evenly with a pastry brush. Spread evenly with cinnamon sugar mixture over the melted butter. Use your hand to evenly spread it out.
Gently roll up, starting at the long end fairly tight. Brush the edge of the dough with melted butter and press to seal. Cut the dough into 2-inch rolls.
Place the cinnamon rolls evenly into greased baking pans or a half sheet pan lined with parchment paper and sprayed with cooking spray. Cover the pan loosely with plastic wrap or a half sheet pan plastic cover and refrigerate for 2-4 hours or overnight.
*At this point, you can freeze cinnamon rolls if desired.