Does the website say that Le Droit Humain in Chile was founded in 1929 by Jinarajadasa?
The Honorable Order of Universal Co-Masonry (before April 2017 “The Honorable Order of American Co-Masonry”) is a 1994 split-off of Le Droit Humain USA (see there for more history). Nowadays the order has 29 lodges in four countries: USA, Brazil, Chile (Santiago) and Argentina. Lodges in Canada and Paraguay are in development.
Gran Logia Mixta de Chile founded in 1929, 46 lodges.
Rite of Memphis-Misraïm is a combination of the Rite of Misraïm that was founded by Cagliostro in 1738 and the Rite of Memphis that was founded by Jacques Etienne Marconis de Nègre in 1838. In 1889 General Garibaldi combined the two the Rite of Memphis-Misraïm.
Nowadays there is an international organisation working in Argentina, Brazil, Chile, Spain, France, Martinique, Mauritius, New Caledonia, Scandinavia, Switzerland, Uruguay, USA, England, Venezuela.
There are other organsations with similar names.
The website does not say that members have to be master Masons in another lodge, so it does not appear to be a system of side/higher degrees. On the other hand, the website does not say anything about the “blue” grades of Entered Apprentice, Fellowcraft and Master Mason, so I am not 100% sure.
What the website also does not state specifically, is that Memphis-Misraïm lodges are mixed. It does say however under “conditions for admission” that: “You must have been questioned by several Brothers or sisters” (my emphasis). Cagliostro wanted to admit women, so it sounds like this tradition is still followed.
Gran Logia Femenina de Chile, according to their logo founded in 1983. The Grand Lodge has 13 lodges in Chile, 2 in Cuba, 1 in Panama and one in Peru.