Actually, we respectfully disagree. The Lumonosity doesn't have any feedback to their systems, and are therefore WAY different than ours. We cannot claim it will solve your issues, but it could (stress the could) help. We accomplish this by providing neurofeedback[1].
[1] http://synaptitude.me/blog/neurofeedback-in-200-words/
Essentially, we can help cope with the issues by helping you identify bad practices. That's it. Turns out many of us don't realize when we start losing attention, or feeling sad. We just suddenly realize we do feel bad. The idea is to make you more aware of what makes you feel bad/lose attention, when you start feeling that way so you can better control it.
Here are some links to some studies (more are coming out soon):
[2] (2009) http://eeg.sagepub.com/content/40/3/180.short
[3] (2009) http://onlinelibrary.wiley.com/doi/10.1111/j.1469-7610.2008....
[4] (1995) http://www.ncbi.nlm.nih.gov/pubmed/8801245
The end goal of our system is to use it in combination with other therapies, drugs, and medical professionals to determine the effectiveness of a therapy/drug on an individual and improve it. Coupled with that we can provide better coping skills, and our own therapy called neurofeedback (as mentioned).