PhilP said:
It would be useful if there were the equivalent to the tables at the rear of the Massoth manuals for this new decoder!
Maybe I'm being a bit slow but which new decoder do you want the values for?
If you mean the MFX decoder, look in the manual for LGB Modell der Elektrolokomotive BR 139 20755 and you will find a list of the ones used by this decoder.
You seem to be keen on the 112 group, here's a hint:
112 Mapping lights in the front, mode 0 – 16 1
113 Mapping lights in the front, dimmer 0 – 255 255
114 Mapping lights in the front, cycle 0 – 255 20
115 – 135 Mapping phys. outputs, lights in the rear, Aux 1 – 6,0 – 16 0 – 255 (compare 112 – 114)
For the MZS decoder found in LGB 28802 the CV values for that group are readable and refereed in the manual. For this loco they appear to be basic (?base) values which suggests that they are not used.
I'm at a bit of a loss why you should want to "mess with" them if they are not problematic and unused.
However I don't think that's the problem or maybe I'm more confused than I think I am?
PS I'm definitely getting older and slower!! For the CV values (range and recommended values) and their definitions it's worth repeating the reference to the document quoted in the first post by
ntpntpntp and refered to by
Cliff George and
idlemarvel. I'm sure you've noted that for these new Marklin decoders that CV 8 can either be ID or reset. From what we now know from the values given in the respective manuals, the MFX decoders CV 8 would appear to be reset and that for the MZS decoder CV 8 refers to the manufacturer ID.
http://mediencms.maerklin.de/media.php/de/produkte/downloads/Umruestdecoder_mLD-mSD_CV-Liste_DCC.pdf
It's obvious that some of the assigned function will be different for different locos, which is clearly outlined in the comments section of the OP's referenced document. Maybe a good English translation would go some way to answering your call for better documentation

.
The main problem seems to be accurately reading some of the CVs and, particularly in the case of the MFX, manipulating some of their values using conventional methodology.
PPS Has anybody tried the Marklin Central Station 2 (60213/60214/60215) in conjunction with any of the new decoder fitted LGB locos. It's currently available on Amazon UK at £464.75. Maybe that's the answer (the 60215 not the 464.75)

.
Here a link to BR 99 5015 70530 loco manual which is part of the LGB starter set with the CS2 digital central controller (ca £850 for the set).
http://medienpdb.maerklin.de/product_files/7/pdf/70530_betrieb.pdf
Scroll to the English language section and, especially for
PhilP, as if by magic, it gives a full and comprehensive list of CV values and definitions

. Note the instruction for the MFX protocol"No address is required; each decoder is given a one-time, unique identifier (UID). The decoder automatically registers itself on a Central Station or a Mobile Station
with its UID-identifier. Could this be part of the problem?