Unbeaten Poland leads the group with 11 points, followed by Scotland, which routed Gibraltar 6-1, and Germany both on 10, while Ireland maintains slim hopes of emerging from the group with eight points.
Reus, who twice hit the crossbar too, scored in the 39th minute when he was free to scoop the ball inside the near post after midfielder Mario Goetze tried forcing his way past a number of defenders.
Mueller sealed the result five minutes later with a deflected effort.
Georgia 0-1 Germany: Reus
Georgia 0-2 Germany: Muller
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