How do I stop the cats from scratching at the door posts?
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You can buy a spray called behave spray. You spray in on those areas and they repel the cat. They don't like the smell.
Citrus essential oils or Rue essential oil lightly wiped on woodwork should repel the cat. Make sure the cat has its own, appropriate scratching post.
https://www.hometalk.com/diy/craft/pet-stuff/diy-cat-deterrent-stop-furniture-scratching-and-urinating-on-carpet-7452128
DIY Cat Deterrent - Stop Furniture Scratching and Urinating on Carpet
You could get a spray tell them no and put cat nip on a toy you want them to play with