The Taurus uses a positive switching system for the lighting.
To put it short, the High Beam wire and Low Beam wire are constantly hot, in-case of a blown fuse they will remain on for safety reasons.
The ground is what is switching, so really all you have to do in your setup is use the ground where they want power. It's a crazy setup, but that's how I got my projectors to work.
Let me know if I confused you, and good luck!
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2000 Taurus SE "Lady Hearse"
__1995 Taurus SHO "Organ Donor"
____1996 Thunderbird LX "Jade Phoenix"