Preheat the oven to 350°F. Line a 9x13-inch baking pan with heavy-duty aluminum foil leaving at least a 2-inch overhang on two opposite sides; spray the foil lightly with nonstick baking spray. Set the pan aside.
Place the full package (36) Oreo cookies in a food processor and process to fine crumbs. (If you don't have a food processor, place the cookies in a heavy-duty resealable bag and crush with a rolling pin until fine.)
Transfer the cookie crumbs to a large bowl, add 6 tablespoons (85 g) melted unsalted butter, and mix until the crumbs are evenly moistened.
Press the crumb mixture firmly and evenly into the bottom and slightly up the sides of the prepared pan. Bake the crust at 350°F for 10 minutes. Remove from the oven and set the pan on a cooling rack. Immediately reduce the oven temperature to 325°F.
In the bowl of a large food processor, combine 24 ounces room-temperature cream cheese and 3/4 cup (171 g) room-temperature sour cream. Pulse/process until completely smooth, stopping to scrape the bowl as needed.
Add 1 1/4 cups (249 g) granulated sugar, 1 tablespoon (14 ml) vanilla extract, and 1/2 teaspoon espresso powder to the cream cheese mixture and process until smooth, scraping the sides and bottom of the bowl as necessary.
With the processor running on low speed, add the 3 large room-temperature eggs and 2 large room-temperature egg yolks and blend just until combined. Do not overmix.
Stop the processor, remove the blade (or transfer the batter to a large bowl), and using a rubber spatula fold in 3/4 cup (171 ml) Baileys Irish Cream until just incorporated. Fold in 2 teaspoons all-purpose flour until combined.
Pour the filling over the prepared crust and spread into an even layer.
Confirm the oven is at 325°F, then bake the cheesecake bars for about 40 minutes, or until the edges are set and the center is still slightly jiggly.
Turn off the oven, crack the oven door, and let the pan cool inside the oven for 10 minutes. Remove the pan and transfer to a wire rack to cool to room temperature. Refrigerate the bars for at least 4 hours or overnight.
For the ganache: place 6 ounces (170 g) finely chopped semi-sweet chocolate in a heatproof bowl.
In a small saucepan over medium heat, bring 1/2 cup (113 ml) heavy cream just to a rolling simmer, then immediately remove from heat. Pour the hot cream over the chopped chocolate and let sit for 1 minute.
Whisk the chocolate and cream together until smooth and glossy, then stir in 3 tablespoons (42 ml) Baileys Irish Cream. Let the ganache cool until tepid.
Pour the tepid ganache over the chilled cheesecake bars and spread evenly. Refrigerate until the ganache is set but still creamy, about 1 hour.
When ready to serve, use the foil overhang to lift the cheesecake slab from the pan and transfer it to a cutting board. Using a large, sharp knife, slice into squares, wiping the knife clean with a damp cloth between cuts. Serve.