Preheat oven to 350°F (175°C).
Line a 9x13-inch pan with parchment paper and spray with non-stick spray.
In a large bowl, whisk melted butter and sugar until combined.
Add eggs, one at a time, mixing after each addition.
Stir in vanilla, red food coloring, and vinegar.
Sift together flour, cocoa, and salt in another bowl.
Fold dry ingredients into wet mixture until just combined.
Beat cream cheese until smooth.
Add sugar and mix until combined.
Add eggs, one at a time, scraping sides as needed.
Stir in vanilla and sour cream until smooth.
Spread red velvet batter evenly into the pan.
Pour cheesecake mixture on top and swirl with a knife.
Bake for 35-40 minutes until a toothpick comes out with moist crumbs.
Cool in the pan, then refrigerate for at least 2 hours before slicing.