I also have 2 white wires. So, i attached the black cord to the black twine on the fixture, and each white wires to the white cord at the fixture and the ground wire from the fixture to the inexperienced screw on the mounting harness. The box for the transfer and gfci seemed clear-cut, two units of 3 wires, 1 black, 1 white and 1 ground. One set for the switch and one set for the gfci. The container for the light fixture has 2 black and a pair of white wires. One black twine is loose, the other is attached to a black cord that goes into the wall and this connection is wrapped in uninsulated copper cord. In case you join the white cord to the opposite white wires at the mild fixture you create a dead quick while the transfer is closed this would experience the gfci if you are downstream from it. Check that the conductors for the transfer aren't useless shorting the circuit.
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