https://www.steyr-mannlicher.com/en/company/history/
You should be able to get an idea from that site and go from there.
If its one of the Mannlicher-Schonauer ones, I have personally worked on one. Really cool rifle. It was in 8mm Mauser and was made in the early 20th century, but there was a wide date range they were manufactured in and many different calibers.