what are the differences between ADCES/AADE accredition vs ADA recognition

Hi, I was wondering if I can gather some input regarding the differences between ADA recognition versus ADCES/AADE recognition. I ask because I am starting a new position as a nurse clinician in Fresh Meadows Diabetes and Edocrinology Care in September and the director of clinical services asked me to look into it prior to my start date. 

I previously looked online for some information between ADCES/AADE accredition and ADA recognition (Mensing's article in 2010) but the information seems limited. 

Thanks for taking the time to look at my post and have a nice day.