All gauges and sensors work in the same way - however they are not all compatible.
Each sensor is designed to 'sense' a value range and send a value to its gauge in OHMS.
So they all do the same thing - in the same way - however each manufacturer makes their gauges and sensors with their own set of values. There is not industry standard.
When you purchase a gauge it will have information on the operating range and THE INPUT RANGE.
When you purchase your sensor you need a matching set of operating and input range or the gauge will not function correctly.
The best way to be sure is to purchase both gauge and sensor from the same place.