In RFID Technology, usually there is a reader, and RF tag that contains an unique serial number and optionally storage technology.
In the field of access management there are the the fundamentally different solutions:
In these Systems, usually the RFID Tag only contains an unique number that is linked internally in the system to a data. This is generally used for access management in leisure sector or wherever you don't need hard security because for example a ticket can only be redeemed once, even if you made 5 clones of it.
2.) Data Based
In these Systems, the RFID Tags are encrypted with good encryption (e.g. Mifare DesFire) and contain valuable information, for example access parameters for facility doors.
To protect your solution against tags from different manufacturers, you can encode a customer ID to the UID-Based systems that is checked by the reader if the card is from a "genuine supplier" or not. In Data based systems, different manufacturers cannot supply cards because they don't know the encryption.
In both cases, the problem is, that all major RFID Solution (Mifare, NTag, etc) do not allow protection of the UID itself, so even if you encrypt your tags, someone can read the UID with any reader. This allows "reuse" of tags for another system supplier, if their system is UID based
Are there any RFID Card technologies, that need a password/key to read out the UID? If the password is incorrect, it should act like there is no card present at all