Ok, then let's get started. Do you know what a Thevenin Equivalent is
https://en.wikipedia.org/wiki/Th%C3%A9venin%27s_theorem?
I need a Thevenin Equiv for the gauge. I'm guessing that the sender connects to two terminals on the gauge. Is one of these terminals common to either the +12/14V power or Ground terminals on the gauge? (I hope it is, because that will make the job easier).
Power the gauge with 14.2V (I'm assuming the engine is running; alternator charging, so use an adjustable bench supply set to 14.2V).
With no sender connected, what does the gauge indicate? Zero or Full scale? Up or down?
Measure the open circuit voltage (using a DMM) at the sender terminals. Note the open-circuit voltage.
Now set the DMM to read DC current at a few 10s of mA. Connect the DMM leads across the sender terminals and measure what the gauge delivers into a short. Note that, too.
Now get one each 10, 22, 33, 47 and 75 Ohm 1W resistors, connect them in place of the sender while measuring the voltage across the sender terminals. Note the voltage, and the gauge needle position. Make a table of voltage/gauge reading vs resistance. (You could use a 100 Ohm pot wired as a rehostat to make these measurements. Use the DMM Ohmmeter to preset the pot to friendly resistance values, like 10, 20, 30, 40,..., 80 Ohms).
If neither sender terminal is common to either +supply or Ground, make the measurements outlined above anyway, but at each step, keep track of the voltage at the two sender terminals, and add them to the data you report.
If you can make these measurements, then we can come up with a "resistance inverter" circuit... (I told you it wasn't going to be easy).