Just changed the wheels and tires for the winter. The proceedure in the owners manual put the car in training mode but it would not train the sensors. I went on line to this web site . https://tpmsdirect.wordpress.com/2013/11/20/tpms-relearn-procedures-ford-lincoln-mazda-mercury/ The proceedure outlined worked like a charm.
As for the Batteries in the sensors any good tire shop or workshop should have a tool like a Autel 401 trigger tool that triggers the sensors to signal the car's computer. The tool also reads the tire pressure, sensor Id number, battery state and the temp.
The fact that a dealership ,tire shop or repair shop has any trouble checking the tpms sensors would be more than enough reason
find a different site for service