Our Escape is a 2014 with the same Sync system found in Ford Fiestas. Here is an excerpt from one customer that had the same issue. Customer's battery was being drained by Bluetooth system in the Sync.
Quote, "That was until January, when Ford got in touch with Dan with a solution. It said it was an issue where the Bluetooth system would not disable when the engine was switched off. So, when stationary, the Fiesta was still searching for a Bluetooth device to connect to – causing the battery to run flat."
This is the same issue I was experiencing, the Bluetooth system was still trying to connect to a phone.... Battery almost drained overnight. Unfortunately my software is updated to the latest Sync release. Solution shut off Bluetooth.