Finding actual ancient coins (or medals) which have Latin on one side and Greek on the other would be very, very, very unusual. This is certainly a modern concoction. And my "modern" we mean late 19th century at the earliest, probably mid 20th century. The artwork overall and the style of writing of the lettering is certainly not ancient, and looks more like early 20th century (1900-1920). The artwork also certainly isn't quite "Art deco" either, so it's pre-1930s.
The "why" of this medal is unknown; Given the giant hole punched through it, I can only assume it to be made for use as a piece of "costume jewellery", designed to look at first glance like something vaguely ancient without really trying to fool an actual ancient coin collector. I doubt it was intended as some kind of "lucky charm" since neither emperor Domitian not King Pyrrhus were particularly lucky or heroic.
As for "where is it from" or more properly "who made it", without any maker's marks or designers initials or even a "native language" it's impossible to pin down; certainly anywhere in the affluent West eg. America, Britain or Europe would be an option.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis