Add ¼ cup of sugar to a 3 qt saucier pan. Cook on medium heat until it melts and turns to a caramel color. Take it off the heat, slowly and carefully add the rum, it will splatter. Add back to the heat and cook for 30 seconds. Remove from the heat. Combine the orange juice and add the figs.
In a small bowl, whip the egg whites until you have stiff peaks. Set aside.
In a larger bowl, whip the egg yolks and the rest of the sugar until it’s thick. Add and whisk in the yogurt, flour, cocoa powder, vanilla, orange zest, and salt. Once well combined, fold in the egg whites and pour over the figs. Grate or shave good chocolate over the top. Bake for 30 minutes or until it’s cooked through. Serve with vanilla ice cream or creme fraiche.