So you are going to pull up the patio, expose the pipe, make a new connection, and bore/chip out a hole in your concrete garage wall to pass it through? Is that right?
Use a hole saw designed for concrete. Many of them are designed to mount on a high sppe angle grinder. Here is one example:
https://www.amazon.com/DAMO-Diamond-Concrete-Granite-Marble/dp/B005IEIUSC
Pray you don't run into any rebar.......
Then run you pipe through, fill the void around the pipe with hydraulic cement:
http://www.homedepot.com/p/Quikrete-10-lb-Hydraulic-Water-Stop-Cement-112611/100318494
Once the void is filled, use some foundation coating around the pipe on the exterior, as a backup to prevent water from leaking into your garage:
https://www.walmart.com/ip/Tamko-Nonfibered-Roof-And-Foundation-Coating/174321639
It's basically just tar. There are synthetic formulas, and they work quite well. You just need something as a backup.