Break the graham crackers in half. Try to apply even pressure so they break along the line.
In a mixing bowl, add in the butter and peanut butter. Beat with a hand mixer until incorporated.
Add in the brown sugar and vanilla and beat on high until light and fluffy, about 2 minutes. Scrape down the sides.
Add in the flour and mix on low to avoid a flour shower. Once almost all the flour is incorporated, turn the mixer on high and beat until the flour is combined.
Scoop a pile of cookie dough in the center of the cookie. Press it out to the edges and add the top cracker. Using a butter knife, even out the edges by removing the excess and press any cookie dough into missing spots. My grahamwiches were quite thick.
Once all 15 grahamwiches are made, set them aside.
Place the chocolate candy melts and shortening in a microwave-safe bowl. Microwave for 30 seconds and then stir. Repeat the microwaving and stirring 3 more times to completely melt the chocolate.
Lay out a piece of parchment paper for the dipped grahamwiches to dry on.
Dip the grahamwiches completely or partially in the chocolate. Tap the wrist of the hand holding the grahamwich to help get the excess chocolate off the grahamwiches.
Place each grahamwich on the parchment paper to dry. It will take 20-30 minutes. After they're dried, place in an air tight container to keep fresh.