I assume you're referring to the Document Manager API key. That will be embedded in the macro code as a string, and depending on how the macro was written, it may need to be updated in more than one location, and may need to be recompiled. If you post the macro here one of us could take a look for you.
On second thought, don't post that code. You shouldn't share the API key publicly.
If you are somewhat proficient with editing code, you could try adding a line to the code that will report what version the document manager application is capable of reading. That should tell you if it's using the latest key.
After the ISwDMApplication object is set, you could add a line like this:
That will display an integer value, where 9000 indicates Solidworks 2016, and 8000 indicates SW2015. See web help for more details.