With any signal, you need to find out what needs to be sent first.
One way would be to record a working sensor. It is possible that a sensor that is stuck at 0% would give you a clue as allow you to guess what needs to be sent.
In LIN, the frame ID is always sent by the master, and it's likely that the sensor is the slave, so it might be possible to look at what frames IDs are being sent by the master and to guess the frame content.
A microcontroller / arduino / Raspberry Pi or similar would be needed if it is a LIN system.