If you go to VoiceAttack's Options screen (little wrench in the bottom-right corner), then go to the, 'General' tab, there is a button labeled, 'Joystick Options'. Click that and up in the top-left, you'll see a check box labeled, 'Enable Joystick 1'. Is that box checked? If so, what does it say right under it as the assigned joystick?
If it says, 'Game Controller 1', you are good to go. If it says, 'Controller (XBox One For Windows)', click on, 'Unassign 1' and then click on, 'Assign 1'. Choose, 'Game Controller 1' as your joystick. This option is for getting around the wireless driver issue. 'Controller (XBox One for Windows)' only works if VA is in focus.