Model C phone module is very old, the very first that supported the RNS-E, it should work with most phones, but possibly not with the latest. Only guessing about that though based on older experience. It could also be faulty, there are many faulty BT modules around, they look OK but the bluetooth cannot be seen
You might want to also check the BT on adaptation setting with VCDS and make sure that is turned on.
You need the 7 in the RNS-E and reset it when you have coded it. If the BT unit is working then the message should change on the RNS-E from "Telephone Not Installed" to "Telephone not connected" or something similar.
The BT module 0010422 is the correct coding for your car
Good luck with it