Even if you found that out I would not depend on that info.
Majors change out who operates their regional flights all the time.
I was commuting out of AUS to DEN and can tell you I never rode on Go Jet. It was mainline then RAH a few times, Skywest a few, and I believe Mesa once. You are better off going to work for someone who has a DFW or IAH base. Until they shut it down and you are displaced across the country.

PS...Thats not to say Go Jet is not doing a lot of DEN/ORD- AUS flights.
Im just trying to tell you not to pick a regional based on what flying they are doing right now.