While second-seed Goerges progressed comfortably, winning both her matches in straight sets, Wozniacki found heself a set down in her quarter-final against 19-year-old American Sofia Kenin.
But she regrouped to beat Kenin 4-6, 6-2, 6-4 then overcame another patchy start to beat Sachia Vickery 6-4, 6-4 in the semis.
"I'm exhausted," the 27-year-old Wozniacki said after spending a total of nearly five hours on court.
"It's a tough start to the season coming out here and playing three sets this morning and then two tough sets now. I'm not 17 any more, I can feel that for sure."
More From This Section
The third seed, Barbora Strycova from the Czech Republic, and the fourth seed, Poland's Agnieszka Radwanska, were both beaten in the quarter but their victors, Taiwan's Hsieh Su-wei and Vickery progressed no further.
Wozniacki started her semi-final against Vickery with two aces then raced to a 5-1 lead before twice dropping her serve.
The Dane recovered to win the opening set but needed nearly 11 minutes to win her second service game en route to beating the American qualifier.
"When you are in a final you want to win it and it would mean a lot to me," she said.
"Since I have been coming nine times already so maybe it's time for it."
The world number 14 from Germany said it had been mentally tough to play two matches in a day but she was in good physical condition.
"In doubles you have someone to talk to and here you have just yourself," she said.
Sunday's final will be the 10th meeting between Goerges and Wozniacki with the German holding a 5-4 lead.