Preheat oven to 350°F (175°C). Line an 8×8-inch pan with parchment paper.
In a medium bowl, whisk together flour, cocoa powder, and salt.
In a large bowl, stir together oil, sugar, and vanilla.
Add eggs one at a time, mixing just until combined.
Fold the dry ingredients into the wet mixture until just combined. Do not overmix.
Pour batter into the prepared pan.
Spread cheesecake topping evenly over the brownie batter.
Dollop raspberry sauce on top and swirl gently with a skewer or knife.
Bake for 30 to 35 minutes, until the edges are set and the center is slightly jiggly but not liquid.
Cool completely, then chill for at least 2 hours.
Use a heart-shaped cookie cutter to cut out Heart-Shaped Brownies.