Preheat the oven to 350 degrees and line a baking sheet with parchment paper.
In a small bowl, make 2 egg replacer yolks according to the instructions on the package. Set aside.
In a mixing bowl, whisk together the flour, baking powder, salt, cinnamon and nutmeg.
Add the butter to a stand mixer (or mix it with a hand-held mixer) and beat until creamy. Add the brown sugar and the pure cane sugar and beat until fluffy.
Add the egg replacer pure vanilla extract and vegan eggnog and mix until combined. Add in the flour mixture one cup at a time and mix until just combined.
Using a cookie scooper, scoop out a heaping tablespoon of dough and drop it on the sheet. Make sure there is a few inches of space between each cookie. Bake for 12 minutes or until the edges are golden.
For the Eggnog Frosting:
Using a stand or electric mixer, beat the vegan butter until creamy. Add the eggnog and powdered sugar, one cup at a time until combined.
Spread the frosting on using a knife or add it to a piping bag to apply to the cookie. Top with sprinkles and enjoy!