A few things to try/double-check:
Orion BMS set to 500 baud.
Orion third party devices set to using Elcon charger.
The Orion itself is normally supplied with Can 1 terminated internally, ie it has 120ohm termination on Can bus 1. But, some are not (I think you have to specifically ask Ewert to supply one unterminated and it's possible you have one of those).
Sounds like you have trouble with the CANadapter. I assume you can connect your computer running the Orion software to the to Orion OK? Page 26 of the Orion wiring manual shows how you need to add a 120ohm resistor across the pins of the lead that you connect the Orion to the CAN adapter with.
On the 6.6KW Elcon charger I have, it's hard to see the pin numbers on the dataconnector plug/socket on the charger so do be sure you don't have the CAN H and L the wrong way round.
I didn't use CAN shield.
You MUST ground the Elcon chassis to the same ground the Orion is using. I don't mean CAN shield / ground, I mean 12V chassis ground (NOT your HV circuit!).
Are you using J1772? If your control pilot/proximity pilots aren't wired correctly the BMS won't instruct charging to start. There is also some software settings for this in the Orion but it's all in the manual ...
I'd start with why the red and green lights are on for the CANadapter, I think you may have the charger's CAN wiring reversed.