In a medium bowl, whisk to combine flour, cinnamon, baking soda, salt, allspice, nutmeg, and cloves.
In a large bowl, whisk to combine brown sugar, Stevia In The Raw®, molasses, applesauce, ginger, and egg. Fold dry ingredients into wet ingredients just until combined. Cover and refrigerate at least 1 hour.
Preheat oven to 350℉. Line a large baking sheet with parchment paper.
Use a tablespoon to scoop out dough. Roll dough into balls, place on baking sheet with 1” space between cookies, and very slightly flatten them with your palm. Bake until puffy and set, 12-15 minutes. Let cool completely.
For frosting, in a large bowl or the bowl of a stand mixer fitted with the paddle attachment, beat cream cheese on medium speed until very smooth. With mixer running, add butter a little at a time, beating constantly. Add powdered sugar, Stevia In The Raw®, and vanilla and beat just until smooth.
Use a small offset spatula to spread frosting on top of cookies.