The so-called "Mongolian medicine" is a derogatory term from overseas (western). The etymology is that in ancient times, Chinese medicine used acupuncture, herbs and other methods unfamiliar to foreigners to treat diseases. They feel strange, but there are indeed some irresponsible itinerant doctors, whose medical skills are sloppy and can't be cured (but they haven't killed anyone). So foreigners think that Chinese medicine is like this ... and because their impression of China people still stays in the period of Genghis Khan's Western Expedition, they call all China people who belong to the Mongolian subspecies "Mongolians", so they derogate from Chinese medicine as "Mongolian doctors", and later their words and expressions are extended to synonyms of "Dr. Huang Huang" in China (please search the allusions of Dr. Huang Huang).
As for the latter, it is a derivative of our country's response to the call of' leaders' in the early 1960s-training some people with basic knowledge of' medical care' to become doctors in rural areas (or small town blocks). Of course, this system has its progressiveness in a certain period. However, it was not conducive to the development of formal medicine and was gradually stopped in the early 1980 s.