Lined with parchment paper or grease with butter (2) 9 by 13-inch pans; set aside.
In the bowl of a stand mixer fitted with the dough hook, combine the milk, water, honey, and yeast and let stand until foamy, about 5 to 10 minutes.
Stir in butter, sugars, vanilla, salt, and eggs with a fork. With the mixer on low, add the sifted white whole wheat flour. Increase the speed to medium, and Knead the dough for about 5 minutes until the dough clears the sides but sticks to the bottom.
If the dough is still sticking to the sides, add only enough extra flour, a tablespoon at a time - to have it clear the sides. (The dough should be sticky, don’t be tempted to make the dough “smooth and elastic.” Instead, flour only just until the dough is manageable enough.)
Lightly grease a large bowl with oil or nonstick spray. Next, lightly oil your hand and transfer the dough to the prepared bowl, turning it to coat all sides in the oil, then knead the dough in the bowl until it comes together and is smooth and easier to handle, about 30 seconds.
Cover with a cling wrap and allow the dough to rest in a relatively warm environment until doubled in size for about 1 hour, depending on the temperature of your house.