My evap codes and transmission codes came on at the same time is there something that is in common with these codes

What is your question?

P0316 p0443 p0446 p0457 p0732 p0732 p0735 p0745

What makes this problem better or worse?

When I'm driving and the wrench light goes on the od switch wont turn off and if I have high rpms and let off the gas the gear will shift and it will drive fine. I've had it parked since it happened.

How long has your 2007 Ford Explorer had this problem?

On a 200 mile trip my boy left the gas cap hanging off and the gas cap door was open and it was snowing pretty good ever since then it's been happening