What is the picture on the left? Is that what you purchased? If no, post pictures of the front, side and rear of exactly what you purchased, showing it out of the vehicle and in your possession - don't make it harder for me and others trying to help you.
If you purchased a 2013 Vette 6L80 transmission, it won't likely work for what you're trying to do as those 6L80s have a diff design to make them compatible with the torque tube set up in the Vettes which makes them completely non-interchangable with 6L80s that went into truck chassis or retro into a Gen3 small block that otherwise does not use a torque tube/rear transmission mounted set up. Additionally the output shafts are completely different and not interchangeable w/those in a typical truck/suv application so you'd need to tear the trans apart and pull swap the output shaft/rear ring gear assembly, assuming that was the only design-related impediment standing in front of you.
Here's a pic of a 6L80 out of a 2013 Corvette - does yours look like this?
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ETA - comparison between Vette and non-Vette 6L80s
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