I have this grass too, and I agree, it is pretty!
The problem I found is, it quickly outgrows a pot. It has BIG roots and needs space and water! You'll need to water it all winter.
So...if you are bringing it into a garage, I would suggest repotting it with new soil and a much larger pot.
You might even be able to divide it down the middle and have 2 plants from the one that looks better. The one that turned brown most likely won't make it through the winter no matter what you do.
The healthy one may lose its pretty pink color in the winter, but should brighten up again come spring when you put it outdoors.