Preheat oven to 350°F. Line a 9x9-inch baking pan with foil or parchment paper and spray with nonstick cooking spray.
Stir together melted butter, oil, and sugar. Stir
Stir in cocoa, eggs, vanilla, and salt. Carefully stir in flour.
Spread brownie batter in prepared pan. Bake 18-22 minutes or until a toothpick comes out clean 2-inches from the side of the pan.
While brownies are cooling, place the Nutter Butters and cream cheese in a food processor. Blend until smooth, scraping the bottom of the food processor if needed. When done it will form a ball.
Press Nutter Butter mixture over cooled brownies.
Melt chocolate chips and a peanut butter in microwave on high power in 30 second increments. Stir between each increment until chocolate is melted and smooth. Spread over Nutter Butter mixture.
Let set at room temperature if possible (if it's summer or your house is very warm, you may need to chill them). These are best cut at room temperature so the chocolate doesn't splinter.