Prepare a 9"x13" pan with parchment paper. I like to use cooking spray or a drizzle of oil in the pan to help the parchment paper stick to the bottom and sides.
In a medium pot, add 3 cups of apple cider. Cook for 30-45 minutes over medium-high heat until the liquid is reduced to ½ cup. (I measure this by pouring into a 2-cup measuring cup. If you reduce it too much, just add back water to ½ cup and mix thoroughly.) Remove to the 2-cup measuring cup.
In the same pot as the apple cider, add 2 sticks unsalted butter to make browned butter. Cook until melted, then continue to cook until brown bits form in the bottom. Occasionally scrape the sides and bottom down with a spatula. Cook until no longer foamy, then remove to the same measuring cup as the cider
Allow the liquids to cool as you prepare a large bowl with the sugars. Add 2 cups brown sugar and ¼ cup white sugar to the bowl. When the cider-butter mixture has cooled for 10-15 minutes, add to the sugar and mix until melted.
Making sure the mixture isn't too warm to scramble the eggs. I do this by pressing the back of my hand close to the mixture to feel for residual heat. Wait until cool, and then add 1 Tbsp vanilla and 2 eggs. Mix until combined.
Add in the dry ingredients. Add 3 cups flour, 1 tsp cinnamon, 1 tsp salt, ¾ tsp baking soda, ¼ tsp nutmeg, ¼ tsp allspice. Gently mix in the ingredients until the batter comes together. It should be wet and shiny, but not sticky.
Pour batter into the prepared pan.