Test Complete same scripts executed with different Organizations and reporting to Zephyr Squad

My scenario is the following:

I run the same test scripts with two different organizations. For example, once with the "BBUA" organization and once with the "ORCL" organization. I want the results of running both ways in Zephyr. But I get in Zephyr is just the results of the last setting "ORCL" because it overwrites the status of the previous run.

A script may pass in "BBUA" but fail in "OCRL".  How to configure the Test complete zephyr connection so that I run one test case somehow that indicates the status separately for "BBUA" and "ORCL"? 

Thank you