I cut the trunk light wire 2003 cavalier. How to fix it

It could be the switch. Check this though that I found

Wire broken in wire harness that follows right rear trunk arm. It is a common problem.

https://www.google.com/search?q=2003+Buick+LeSabre.+I+have+no+tail+lights

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GM radios controlled the lighting. You need a replacement radio that's compatible. Your's isn't

You have a short between the trunk motor and the reverse lights. Follow the harness from the trunk latch to to reverse lights. Open the harness there and start looking.

did you fix it? if you did what did you do? i have the same prblm thanks!

Check around in that trunk for loose wires. Especially a grounding wire at the taillights. Sometimes in our hurry to shove stuff in the trunk it's possible to disconnect, or cut a wire... If you've got the 'cyclops" light working on the hatch, then there's power back there, just look around and I'm sure you locate a loose or damaged wire... trace them back from the taillights and look close for cuts, frays, damage, loose connection..

Are you sure that is the code?
Gm does not have a P1411 in the 2003 J body

Check the wiring in the trunk area. It could be that the wiring to the lights themselves got damaged and is shorting out. Look for bared, cut, crushed wires in the harnesses...especially the brake warning light that is in the rear window.

Does pushing the trunk release button make the back up lights illuminate? Has the car been serviced or wrecked before this problem? Have you been golfing and put clubs in the huge trunk. Either the ground wire for the trunk lid devices is bad or the trunk release wire (purple/orange) and the reverse lamps wire (purple/white) have been reversed.

Chances are the ground wire is frayed or partially broken. You could cut the black wire on the bulb socket, crimp a new wire onto the socket side of the cut, and ground that to a bolt in the engine bay. If the ground wire was frayed somewhere, this will likely fix the problem.