Concrete patio slopes toward garage causing water seepage
One possible solution is to cut the concrete and dig a trench for a drain between the patio and the door.  As long as the water isn't too much to overflow that drain, it will work.
But if your water problem is too much for such a drain, and I suspect it may be, the real solution is to remove the slab, grade the ground away from the garage, and then re-pour the slab.
Yes, that's a lot of work but it's the only one that is a sure-fire solution to the problem.  Having water run back toward your home is a recipe for long-term damage.  So you'll be better off all around fixing it right and not having to worry about it again.