That clearly looks like the livery is based on the wrong template for that car model. You say that the texture matches the model year of the car - but, you still have to make sure the bse template matches the base model that you are using. Different devs may use different base model cars for their final product release - there are a few 2018 Charger base models out there - Matt, GM, for example.
Anyhow - I did check out the Clayton County livery and the South Fulton model pack you linked above. I figured out your issue.
Was looking the pic you posted, and the unit number (782......6, I think) that shows up on the trunk lid instead of the roof? Once I saw how the livery dev organized his pack - I had a look at the 2023 Charger liveries............and, there isn't one with 782anything in it. The 2023 list only has 7842, 7844, and 7897.
However - I had a look at the other model year Chargers in the livery pack. And, in the 2014 list...........there is a 7825, and a 7826. And, obviously it is a completely different template. Tried it out on the 2023 Charger model - same look as you have.
However, if you install one of the liveries from the 2023 Charger folder on the 2023 Charger model.............works fine
Alright? I assume it would the same with the other model pack you linked, since it is also from Scorpionfam. Should be an easy fix for you.........just make sure you are installing a livery from the right model year folder, onto the same model year car.