Bread Pudding With Caramel Sauce

Name: Bread Pudding With Caramel Sauce
Ingredients: FOR THE PUDDING:; 5 tbsp. unsalted butter, melted, plus more for greasing; 6 kaiser rolls, cut into 1 pieces; 1 cup packed light brown sugar; ⅓ cup maple syrup; 1 tbsp. ground cinnamon; 2½ tsp. vanilla extract; ½ tsp. kosher salt; 5 eggs, lightly beaten; 5 cups whole milk; ⅓ cup raisins (optional); FOR THE SAUCE:; 8 tbsp. unsalted butter; 2 tbsp. light corn syrup; ¾ cup light brown sugar; ¼ cup granulated sugar; ⅓ cup heavy cream; 1 tbsp. dark rum; ½ tsp. fresh lemon juice