Preheat the oven to 350 degrees F. Line a 9 X 13 inch baking dish with parchment paper. In a large bowl, mix the flour, cocoa powder, granulated sugar, brown sugar, and salt together.
Whisk in the melted butter, Baileys Irish Cream, and 3 eggs. Once smooth, stir in the mini chocolate chips. Spread the batter evenly in the prepared baking dish.
Place the cream cheese in the food processor (or the bowl of a stand mixer.) Puree/Beat to soften. Scrape the bowl, then add 3 eggs, powdered sugar, and instant coffee granules. Puree (or beat on low) again until completely smooth. Pour the mixture over the top of the brownie batter.
Bake for 55-60 minutes, until the center is set when jiggled. Cool for 15 minutes, then place the pan in the refrigerator to chill. Once the bars are completely cold, lift the entire batch of bars out of the pan by the edges of the paper and cut. Baileys Irish Cream Coffee Bars can be left out on the countertop for up to 3 days, or refrigerated for up to a week.
NOTE: For bars with pretty edges, wipe the knife with a wet paper towel between each cut.