I’ve changed my phone and copied the whole CamScanner folder to the new phone, but when I open CamScanner app on the new phone, the copied documents do not show up. Why? How can I restore those documents?

The CamScanner files CANNOT be restored simply by moving the [CamScanner] folder to the new phone. If you still have access to your old phone, you can use the CS cloud sync feature to transfer data:
If you have a CamScanner account in your old phone, please sign in to CamScanner on www.camscanner.com to check your files there.  Then sign in with the SAME CS account on your new phone, your files will be downloaded automatically. If you don't have a CamScanner account, you can sign up for it either on the web or in the app and then sign in on your old phone to sync files.