Actually, yes I can! Ok the gauge is just some ching-chong e bay cheapy, but quality aside they all work the same way.
Essentially the gauge is an ammeter. It puts current through the float in the tank and measures what comes out. it then displays this on the display. So when the tank is full the resistance is low so what goes in comes back out. As the fuel drops, the resistance in the float goes up so less current makes it out the other side. I don't know what colour wires you have so we'll have to do that later. But, there should be two wires coming out of the tank sender and three wires in the back of your gauge.
One of the gauge wires is 12v in. This needs to be on Acc so that the gauge goes off when you stop the car. The next gauge wire needs to be connected to the sender via one of the loom wires. The other loom wire needs to be connected to the last remaining gauge wire. So in really easy terms, two of the gauge wires connect to the two sender wires. The last gauge wire is power in. This not only powers the gauge illumination etc, but sends the current down the wires, through the sender and back to earth. It had me foxed for a while until JW kindly told me it was an ammeter. It's nowhere near as complicated as it sounds. You only need a length of 2 core to run from the tank to your dash.