Ostapenko was playing in her second final in as many weeks after losing in the Linz showpiece to teenager Coco Gauff.
However, the former French Open champion went one better in Luxembourg, cruising to a 6-4 6-1 win over Goerges.
The championship marks Ostapenko's first since the Korea Open in September 2017, three months after her French Open final triumph over Simona Halep.
Ostapenko needed only one break to take the first set and it came in the ninth game when Goerges fired long, the Latvian then consolidating to wrap up the opener.
Goerges' resistance faded in much shorter order in the second as the German faltered on the forehand side, allowing Ostapenko to race to victory having lost her previous two finals of 2019.