Welcome to Volvo world, hope you are enjoying your new car
As long as it's the car you wanted then don't worry about the badges,. As above it gets very complicated very quickly
The "T-5R" badge was only ever used in 1995 for a limited edition of the Volvo 850 following the success of the Volvo 850 in the touring car championship. They are rare collector cars now.
The cars started off from fully loaded 850 T5, with a little more power than a standard T5, some unique body bits like the font bumper and wheels, unique seats (allegedly done with Porsche), and other bits and bobs.
It was so successful it was followed by a number of "R" editions as listed in the second post.
And more recently by a number of Polestar limited editions, but that's another complicated branding story, lol.