FYI- Problem solved...
The connectors for the Vanos Selenoids are polarized.  Reversing the wire connectors while replacing the connector again solved the problem.  It's running awesome.  After 3 years of sitting, another R56 has rejoined the motoring world.

it was just 2 wires and I took a chance. I am leaning to your thoughts that the connection is polarized.  It sounds like I'm going to have to bust apart the new connector and switch the wires.  Bummer.  It was only $6 for the connector kit, so not too hard of a hit. 
Thanks

It sounds like you used MINI factory parts for your repairs but a defective replacement is always a possibility albeit very rare. 

What was your reference when configuring the wiring into the connector?  Did you have a schematic to follow or did you try to duplicate based on wire colors?  I would think polarity would be important with DC voltages...

My suspicion is incorrect wiring - but that is just a guess....

Your Vanos solenoid is similar in concept, if not design, to the starter solenoid used on classic mini's such as this beautifully restored Austin Cooper S. The solenoid is circled in red, and can be bad right out of the box.

I recently removed the head and had it surfaced, valve job and pressure checked.  New Timing Chain set, new Vanos Sprockets, New Vanos Selenoids, new lifters int & exh.  Plus an array of other repair/replacement parts working through the problems. Got it all back together this weekend and it runs like a top.  (Boy, reassembling the Valve Tronics was not without challenges) Purrs like a kitten.  But, I am getting this code: 2842- Not Present DME Vanos Selenoid Exaust Valve Activation.  Now, I also purchased a new Vanos Selenoid Wire Connector plug kit from Mini since mine disintegrated.  It's empty and you have to put the new connectors on the wires and fiddle with the whole thing to go back together.  I failed to pay attention to the polarity.  Does it make a difference?  If it doesn't, does anyone have any ideas why this would be coding out?  
can you get a bad selenoid out of the box?
Thanks for any help.