Hi @Goetzsta. A few questions just so I can get some things right. Are you on ADSL or fibre? What home hub are you using e.g. - Home hub 3/4/5 etc. How are you connecting, wires or wireless? Have you tried a connection test on the Xbox One? Can you even connect to XBL?
Basic questions as I have an Xbox One and Guitar Hero Live and do not have any issues. My set up is a HH5A, hard wired, static IP and DMZ (When not using my PS4.)