GF Oreos, Softer Version with Peanut Butter Filling

I'm always changing my recipes, depending on the day and what I want. I've been wanting to adjust the Oreo recipe to make it slightly softer, a bit more cake like. I've also wanted to play around with the butter, and see what combination works the best. And today, I've been in a Reese's kind of mood, and I thought that a peanut butter frosting would make a great center for these cookies. So, here's the newer, softer GF Oreo:

3/4 cup Featherlight flour
1/2 cup GF flour
1/2 tsp xanthan gum
1/2 cup Special Dark cocoa
1 small pkg chocolate pudding mix
1/2 cup sugar (I think this could be bumped up, even to a full cup)
1 tsp baking soda
1/4 tsp baking powder
1/4 tsp salt
1/2 cup margarine + 2 Tbsp butter
2 eggs

Mix together dry ingredients. Add softened butter and combine. Add eggs, one at a time, mixing well after each addition. Divide into small, even balls, flatten. Bake at 350 for 7 minutes on parchment paper lined cookie sheet.

Frosting

1 cup creamy peanut butter
1/2 cup butter or margarine, softened
2 cups powdered sugar, sifted
2 teaspoons vanilla

Beat together butters until nice and fluffy. Add sifted powdered sugar, mix on low until combined, then mix on medium speed until light and fluffy.
This makes for a thicker filling for the oreos. It's not super sweet, hence my suggestion to add more sugar to the cookie itself, but it is delicious. It's also a very large batch, so that you have plenty to use to overstuff the cookies. For this filling, I just frosted one cookie, then covered it with a cookie of similar size. As you can see, these cookies are nearly as perfect and round as the others I made, but I kind of like the rough look of these. They're small, only about 1 1/2 to 2 inchs in diameter, I'm just zooming in a lot on the cookie. The pictures almost make them look like whoopie pies, but they're really just like a double-stuffed Oreo.