We used Adobe Target to set up and run AB/ MVT tests through the Visual editor and through form based tests. We use another companies software to replay user sessions and I wondered if there was any way of identifying which experience a customer had been entered into by looking at the cookie values?
Do I understand your request correct, if I say you want to set a flag in your session-recording software, to tell you what experience the user saw?
Now I don't know how you can pass information to that system, but I guess cookies are an option since you mention them yourself? As far as I know, Target does not store such information in a cookie on users devices. If you want a cookie, you would need to add some custom code to each experience and campaign, setting a cookie with the required information. Not an optimal way, but the only way I can think of...
Let me know if you find something better or if the above solution works?