Bread Pudding with Caramel Sauce

Ingredients

• 5 tbsp. unsalted butter, melted, plus more for greasing
• 6 kaiser rolls, cut into 1" pieces
• 1 cup packed light brown sugar
• 1⁄3 cup maple syrup
• 1 tbsp. ground cinnamon
• 2 1⁄2 tsp. vanilla extract
• 1⁄2 tsp. kosher salt
• 5 eggs, lightly beaten
• 5 cups whole milk
• 1⁄3 cup raisins (optional)
• 8 tbsp. unsalted butter
• 2 tbsp. light corn syrup
• 3⁄4 cup light brown sugar
• 1⁄4 cup granulated sugar
• 1⁄3 cup heavy cream
• 1 tbsp. dark rum
• 1⁄2 tsp. fresh lemon juice