To troubleshoot a Smart TV not recognizing or connecting to Bluetooth devices, please follow the below steps:

1. Check if Bluetooth is enabled on the TV: Go to the TV's settings and check if Bluetooth is enabled on it.
2. Unpair any previously connected Bluetooth devices: In case the Smart TV was previously connected to any Bluetooth device, unpair that device and try reconnecting it.
3. Reboot device and then the TV: Reboot the device you wish to pair and then the TV.
4. Ensure the device is discoverable: Check if the device you wish to pair is discoverable and the Bluetooth connection is turned on.
5. Ensure device is within range: The device should be within the Bluetooth range of the Smart TV (~10 meters or 33 ft).
6. Check for any outdated drivers: Check if the version of drivers of the device is compatible with the TV's version.
7. Restart the TV: If all else fails, restart the TV and try pairing the device again.