You started with reverse lights do not work, then ended brake lights do not work, I assume you meant reverse lights in that last part. At the TR sensor, when back probing the green/yellow wire at the plugged up connector. With the parking brake on, key on, shifter in reverse, this wire should have battery voltage. If it does then we need to focus on the trailer reverse lamp relay built into and not serviceable, inside the fuse box under the dash. Verify fuse 10 is good and has power. Then we need to back probe and test connector E pin 20 black/pink wire on the back of the interior fuse box at the passengers right foot. This wire should also be powered using the same steps prior. If its not then the fuse box is bad or there is a wire issue to he fuse box from the TR sensor. If it is powered then the wire form the fuse box to the rear lamps is broken. Let me know the result. Below is a link showing connector E.
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