Yes, The EET program is ABET accredited, but I dont know about the mechatronics one.
If one is accredited and the other isn't, do the accredited one.
You have an EET degree? How did you get into software? Ideally I would like to get into that field, it seems more professional, but I don't know how likely that is to happen with an EET degree.
If I cant get into that field I would like to work with controls and instrumentation or automation.
If you want to get into software why not major in CS?
Otherwise, you should be fine getting a job as a software developer with an EET (or mechatronics, for that matter) degree, as long as the electives you choose have a decent programming component. (That's where it might be helpful to go for the computer engineering technology degree instead of the straight-up electrical one.) In particular, you'll want to become competent enough at C/C++ (at least), including understanding things like pointers and parallelism, to pass a technical interview.
Having an EET degree instead of CS will help you more if you're going after jobs writing code for embedded devices than if you want to work in web development, of course.