Preheat oven to 350°F (177°C). Lightly grease two ramekins and place on a baking sheet.
Chop 2 ounces of chocolate and melt with heavy cream in short microwave intervals, stirring until smooth.
Whisk in brown sugar until fully dissolved. Add oil, beaten egg, and vanilla extract. Mix well.
In another bowl, combine flour, baking powder, and baking soda.
Fold dry ingredients into wet mixture until smooth. This step ensures your chocolate fudge cakes for 2 have the perfect texture.
Divide batter evenly into ramekins (about 3/4 full).
Place a chunk of remaining chocolate in the center of each ramekin and submerge.
Bake for 15–17 minutes, rotating halfway through.
Serve immediately while warm and gooey.