Preheat the oven to 325°F. Lightly grease a 9 inch springform pan and line the base with parchment paper.
In a medium bowl, combine 24 crushed Oreo cookies, melted butter, and 1 tbsp granulated sugar, then mix until the crumbs are evenly moistened.
Press the Oreo mixture firmly into the bottom and slightly up the sides of the prepared pan using the bottom of a measuring cup. Chill the crust in the refrigerator while you prepare the filling.
Place a large pan of hot water on the lower rack of the oven to create a steamy environment for gentle baking.
In a large mixing bowl, beat 32 oz cream cheese on medium speed until completely smooth and creamy, scraping the bowl as needed.
Add 1 1/2 cups granulated sugar gradually and continue mixing until fully combined and smooth.
Add the eggs one at a time, mixing on low speed after each addition just until incorporated, and scrape down the bowl.
Add the sour cream and 1 tbsp vanilla bean paste, then mix on low speed until smooth.
Add cocoa powder, red gel food coloring, white vinegar, and flour, then mix on low speed until the batter is silky and evenly red with no streaks.
Gently fold in 1 cup roughly crushed Oreo cookies with a spatula so the pieces stay chunky and evenly distributed.
Pour the cheesecake batter over the chilled crust and smooth the top with a spatula, then tap the pan firmly on the counter a few times to release air bubbles.
Place the springform pan on the rack above the pan of hot water and bake for 55 to 65 minutes, until the edges are set and the center still has a slight wobble when gently shaken.
Turn off the oven, slightly crack the oven door, and let the cheesecake cool in the oven for 1 hour.
Remove the cheesecake from the oven, run a thin knife around the edge of the pan, and let it cool completely on a wire rack.
Once cooled, cover the pan and refrigerate the cheesecake for at least 8 hours or overnight until fully set.
For the frosting, beat 8 oz cream cheese and 1/2 cup butter in a mixing bowl until smooth and fluffy.
Gradually add the powdered sugar, mixing on low speed until incorporated, then increase to medium speed until the frosting is smooth.
Add 2 tsp vanilla bean paste and 2 tbsp milk or cream, mix, then add more milk or cream as needed until the frosting is thick yet spreadable.
Release the chilled cheesecake from the springform pan and transfer it to a serving plate or cake stand.
Spread a generous layer of cream cheese frosting over the top of the cheesecake, or pipe swirls around the edges for a decorative finish.
Sprinkle red velvet cake crumbs and extra Oreo pieces over the frosted cheesecake for garnish and added texture.
Slice with a long sharp knife dipped in hot water and wiped dry between cuts, then serve chilled.