Same behavior with more than one transmitter, (key fob?)

You can or cannot open and lock the doors by touch? Only the fob buttons will not unlock or lock the doors, is that correct?

If the above is all true, I would first suspect the key fob and not the car electronics. Any button, i.e. the hatch open button, suggests the car electronics are working correctly.

If touching (or pulling,) on a door handle does not unlock the door when you are holding the fob, then there might be issues with the vehicle.

Can you start the car, without placing the fob in the holder?

You have put a new battery in the fob?

I had taken my X5 for service. They told me comfort access was 'all jacked up.' Turns out the battery was dead in that fob.

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Current
2015 BMW F800 GT, Montego Blue
2012 BMW X5 Premium, Vermillion Red
2008 BMW 535xiT, M-Technik body kit, Monaco Blue
2004 BMW 525i Premium, Olive Green.

Past
1991 BMW 750iL, Alpine White.