Goerges, 27th in the world rankings, took control of the match early, twice breaking Kasatkina to take a 5-0 lead in the first set.
The 28-year-old German played aggressively, taking advantage of her opponent's 15 unforced errors throughout the match.
Kasatkina was unable to regain her composure in the second set, which Goerges dominated to win the match in just over an hour and secure her third WTA singles title.
It was her fourth appearance in a WTA singles finals this year.
(Reporting by Gabrielle Tétrault-Farber, editing by Ed Osmond)
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