Have you had the codes cleared after trying something? Like replacing the CPS. Should still run okay without doing so but I have seen on M54's a rough running engine until codes being cleared after a repair. Most recently my brother in law's 01 330ci.

Sounds like you need a more detailed reader to be used... like INPA/DIS/Autologic that can pinpoint which sensor or part is causing the problem.

Did you follow the beisan systems instructions to reinstall the vanos? Can be pretty tricky and is easy to get a hair off...

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2005 X5 4.4i Build 04/05 Maintenance/Build Log
Nav, Pano, Sport (Purchased 06/14 w/ 109,000 miles) (Sold 8/15 w/121,000 miles)

2006 X5 4.8is Build 11/05 Maintenance/Build Log
Nav, DSP, Pano, Running Boards, OEM Tow Hitch, Cold Weather Pckg (Purchased 08/15 w/ 90,500 miles)

2010 X5 35d Build 02/10
Nav, HiFi, 6 DVD, Sports Pckg, Cold Weather Pckg, HUD, CAS, Running Boards, Leather Dash, PDC, Pano (Purchased 03/17 w/ 136,120 miles)