Preheat oven to 350°F. Coat a 12-cup nonstick Bundt pan with cooking spray.
Beat cream cheese, 1/4 cup granulated sugar, 1 egg, 1/2 teaspoon cardamom, lemon juice, and vanilla in a small bowl until smooth.
Whisk flours, cinnamon, baking soda, baking powder, salt, and the remaining 1 1/2 teaspoons cardamom in a medium bowl.
Beat the remaining 1 3/4 cups granulated sugar, eggs, pumpkin, applesauce, and brown sugar in a large bowl. Add the dry ingredients and mix.
Spoon half the batter into pan. Spread cream cheese filling over batter and cover with remaining batter.
Bake the cake until a toothpick inserted into the center comes out clean, about 1 hour 15 minutes. Let cool for 15 minutes then remove from the pan.
Garnish with cranberries, if desired.