You can connect our speakers to Xbox 360 / Xbox One in two ways:
1. Using a HDMI audio adapter:
Leave the HDMI cable connected to your TV for video.
Connect the HDMI audio adapter to the A/V port on the console.
Connect the white and red connectors on the stereo audio cable to the corresponding ports on the HDMI audio adapter.
Connect the connectors on the other end of the stereo audio cable to the speakers.
2. Using a TV's headphone jack:
Leave the HDMI cable connected to your TV for video and audio.
Connect the speakers to the TV's headphone jack.
Cable requirements can vary by manufacturer; see your TV manual for details about how to output audio to an external source.
For further details please consult articles published by Microsoft:
http://support.xbox.com/en-US/xbox-360/connections/connect-sound-system
http://support.xbox.com/en-US/xbox-one/live-tv/connect-console-to-home-theater