Preheat the oven to 350°F. Lightly wipe an 8 × 12 baking dish with oil and line with parchment paper.
In a large bowl, combine all the dry ingredients, including the raisins and zest.
In a medium bowl, whisk together the milk, applesauce, nut butter, molasses, vinegar, and vanilla.
Add the wet ingredients to the dry and mix until just combined. Transfer to the prepared baking dish. Bake for 26–29 minutes, until a toothpick or skewer inserted in the center of the cake out clean. Remove from the oven, and let the cake cool in the pan.
Nut Butter/Nut-Free Note: If using nut butter, use one that is “runny” or loose, rather than a dense, thick nut butter. I have tested this cake without nut butter at all, and it’s still beautiful! To make it nut-free, omit the nut butter and increase the applesauce to 1 cup.