01 - Preheat oven to 325°F. Line an 8-inch square baking pan with parchment paper, leaving an overhang for easy removal.
02 - Combine graham cracker crumbs, sugar, and melted butter in a bowl. Press firmly into the bottom of the prepared pan. Bake for 8 minutes. Remove and cool slightly.
03 - In a small saucepan, combine raspberries, sugar, and lemon juice. Cook over medium heat, stirring and mashing until thickened, about 5 minutes. Strain through a fine mesh sieve to remove seeds. Cool completely.
04 - Beat cream cheese and sugar in a large bowl until smooth. Add eggs one at a time, mixing well after each. Stir in vanilla extract and sour cream. Mix in melted white chocolate, then fold in white chocolate chips.
05 - Pour cheesecake filling over the crust and smooth the top. Drop spoonfuls of raspberry puree over filling and swirl gently with a knife or skewer to create a marbled effect.
06 - Bake for 30 to 32 minutes until edges are set and center is slightly jiggly. Cool to room temperature. Refrigerate at least 3 hours before slicing into bars.