Hi,
First, does the gear indicator show R when you place it in reverse? Next, there are two fuses I need you to check. In addition to checking the fuse, make sure power goes in and out. See Pic 1
https://www.2carpros.com/articles/how-a-car-fuse-works
https://www.2carpros.com/articles/how-to-check-a-car-fuse
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If the fuses are good and the indicator shows R, the next thing to check is the back up light relay. See Pic 2 Here is a link that shows how to check one:
https://www.2carpros.com/articles/how-to-check-an-electrical-relay-and-wiring-control-circuit
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If the relay is good and gets power, then confirm ground to both rear lights. Each side has its own ground, so it would be odd for both to fail at the same time. (See pic 3) It could even be related to the transmission control module, but that too is unlikely.
Here are a few additional links you may find helpful when testing:
https://www.2carpros.com/articles/how-to-use-a-test-light-circuit-tester
https://www.2carpros.com/articles/how-to-use-a-voltmeter
https://www.2carpros.com/articles/how-to-check-wiring
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If you haven't already, check to see if there is power to the light sockets. It could be something as simple as the wrong bulbs or faulty sockets.
Let me know what you find.
Joe
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Monday, March 2nd, 2020 AT 6:04 PM