Silvio, it was one of the first "Mediterranean" grills around, started by a nice young Iranian guy. At one point they had a number of chains around town, including the charter restaurant in the space in Clifton that now houses Mirin.
Their largest operation was in Holiday Manor, which still exists, and they also have shops on Poplar Level at Trevilian and on Hurstbourne just north of Shelbyville Road.
And, tadaaa, their website says a new location on Bardstown Road is coming this spring, so that's what you saw.
http://ww2.shirazmg.com/Initiallyl it was very good. I thought it lost a step or two when they expanded, and the one in Clifton slipped enough that it didn't last. But it's certainly competitive in its genre. I'd go to lunch at one of them any time.