Butter one side of each bread slice. Flip 2 slices over and top with apricots, dividing evenly. Sprinkle with cinnamon sugar to taste. Top with mozzarella and remaining bread slices, buttered sides up.
Cook sandwiches in a large frying pan over medium heat, turning once, until golden and crisp on both sides, about 8 minutes total.
Note: Nutritional analysis is per sandwich.