From the little that can be seen from that photo, this looks like FCCID:KR55WK49147 which is a Siemens VDO OEM FOB for Comfort Access equipped vehicles.
I have not been able to figure out how to correct remote data when wrongfully programmed. Usually I renew the key and reprogram.
One of the best and easiest tests you can do to troubleshoot remote/antenna is to use INPA and connect to CAS ecu. Navigate through the menus and you should be able to find a page with the rolling codes for remote (sorry can't recall the exact path).
You should see various rows of new numbers every-time you press the remote. If pressing the remote button makes new numbered rows show up, you know the antenna is good and so is the FOB transmission.
Last time I had this issue, the problem was in the key type identifier (CAS would receive the request but would ignore it because it didn't recognize the key as a valid remote type) but I just programmed a new FOB (which programmed as the correct remote type) and went on with my day.
Hope this helps
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