In Alice: Madness Returns, you can toggle your umbrella by pressing the left bumper (LB) on your Xbox 360 controller. This will open or close your umbrella, depending on its current state. Keep in mind that you can only use your umbrella when it is raining; otherwise, it will be of no use to you. Also, be sure to close your umbrella before entering any buildings or indoor areas, as umbrellas are not allowed inside.