Layer your ingredients in the pan of the bread machine in the following order: water, olive oil, brown sugar or molasses, salt, rye flour, all-purpose flour, caraway seeds (if using), and lastly, yeast.
Add the bread pan to the bread machine, and make sure it’s secured. Close the lid and plug in the machine. Choose the "Rye Bread" setting, or select the "Whole Wheat" or "Basic" setting for a medium size or a 1 ½ pound loaf.
Start the machine and allow it to complete the kneading, rising, and baking cycles.
When the baking cycle ends, unplug the bread machine, open the lid, and remove the pan from the machine using kitchen mitts. Allow the bread to cool for 10 minutes in the pan, then shake it out of the pan and allow it to cool completely on a wire rack. Carefully remove the paddle from the bottom of the loaf if it got stuck there.