Thanks for that info. The controllers may still be connecting wirelessly to the console while using a cable. Do you have access to a PC? If so we can check your controller and cable's ability to use a wired connection this way. If this is not working correctly then your devices can't pass through to the console. This can be checked in a PC game or it's easy to check using just Windows.
To do this connect your controller to your PC. Wait a few moments for Windows to install drivers and prepare the device. Once finished press the Windows key and type 'set up usb game controllers' and continue to this selection.
Select the controller then click properties.
If you've made it this far the controller actions will be shown in this window. Pressing buttons and moving the analog sticks will be visible as shown in this picture.
