To help diagnose and solve the issue of your Smart TV not connecting to Bluetooth headphones, it’s important to go through the following steps:

1. Check Range: Determine the maximum range of your Bluetooth headphones and make sure to keep your Smart TV within that range.
2. Reboot: Reboot both the TV and the headphones in order to try and reset the connection.
3. Update Firmware: Install any firmware updates that might be available for your Bluetooth headphones.
4. Pair Headphones: Turn off any other connected Bluetooth devices and make sure to pair your headphones with the TV according to the device’s instructions.
5. Disable Interference: Disable any other wireless frequencies in your home, such as Wi-Fi, cellphones, or other connected Bluetooth devices.
6. Check Compatibility: Make sure your headphones are compatible with your Smart TV.