There are 2 scenarios in which you can set up Control Center to work with an AV setup that is in your closet or basement.
Scenario 1: Control Center installed in the closet or basement with the AV setup...
The Control Center remote interacts with Control Center via Bluetooth. As such the distance from your closet or basement AV setup should be within Bluetooth range of the TV viewing area (approx. 30 feet in open air). Please note that obstructions like walls and large furniture will affect the Bluetooth signal. In this setup you will also need a long length HDMI cable that can be run from Control Center (closet or basement) to your TV.
If you have an iOS device and you're having trouble controlling your Control Center using your Control Center remote try using the Caavo iOS app's remote function to control your devices. The iOS app uses your network to communicate with the app and your iOS device.
Scenario 2: Control Center is installed where the TV is. The rest of the AV setup is in the closet or basement...
In this instance the Control Center remote can communicate with Control Center easily since the two will be in the same area. However with this setup you will need multiple long length cables for each device that is in the closet or basement that will connect to Control Center.
*Please note that in either scenario you may still need IR communication between Control Center and devices that do not support direct control (IP, HDMI-CEC).