First Easy Test
This gauge stops where it wants when the Ignition goes off. So do not worry what it reads when ignition is Off.
On a 94 the I/P indc fuse #11 powers temp, oil, and fuel gage. Also the "low and hot" lights in the cluster. Trunk release, defogger and air bag.
If everything else works you should start at the tank end of the circuit.
The easy first test would be to unplug the trunk electrical harness plug. Driver's side top of fender between trunk hinge and grommet by driver's tail light. Wire colors are Lt green, Dk green, brown, yellow, gray, purple, and black.
On the tank side purple(sender) and black(ground) are the gauge wires. Near 0 should be empty and near 90 Ohms should be full. Half full may not be 45 Ohms so you are looking for a change in numbers between full and empty. With low Ohms values from the sender your meter may be 0-10 Ohms off the theoretical number.
If the Ohms are changing between full and empty then we know the problem is forward of the trunk plug. I do not know of a plug between the trunk and the back of the cluster.
If you are getting a steady (same#) Ohm number full to empty you can try the same test at the tank plug by the fuel fill.
If the Ohm reading are not changing from the tank sender you may be pulling the tank. The sender may be damaged or the float is stuck some how.
When I say empty I mean low. I never let my car fall below 1/8.
Please tell us the year and model of your car.