Preheat the oven to 375°F and prepare a 10x15-inch jelly roll pan with parchment paper.
Beat the eggs until thick and light yellow, about 5 minutes.
Gradually add brown sugar and oil while mixing.
Incorporate buttermilk, vanilla extract, and red food coloring until well combined.
Sift together the cake flour, cocoa powder, and dry ingredients; fold gently into the wet mixture.
Pour the batter evenly into the prepared pan and bake for 11–13 minutes or until a toothpick inserted comes out clean.
Cool the cake for 5 minutes before flipping it onto a towel dusted with confectioners' sugar.
Roll the cake gently in the towel and let it cool for 30–45 minutes.
Prepare the cream cheese filling: Beat cream cheese, sugar, and heavy cream until smooth and fluffy.
Unroll the cooled cake, spread the filling evenly, and re-roll tightly.
Wrap in plastic wrap and refrigerate for at least 2 hours.
Dust with confectioners' sugar, drizzle with white chocolate, or garnish with berries before serving.