That database is the Argentina National Census 1895.
Taken on 10 May 1895, the collection is a name search able census with 3.8 million images. It can be found in the Historical Record Collections section of the website.
Argentina was a great melting pot for people from many countries, a fact that becomes obvious as the census is searched. To search the collection simply find the following link:
Once in the collection simply search by name. Using the surname Cohen, I found 161 hits for people with that surname. Included in those was the record below, which shows James Levy and his wife Bella Cohen de Levy. They were listed as having the religion of Israelita. The information shows they were both born in England and had been married 27 years with 3 children. Those three children, Samuel, Daniel and Anita are all living in the same home in Buenos Aires. Many thanks to FamilySearch and best of luck as you look for your own families.