Combine sauce ingredients in a small saucepan; bring to a boil over medium heat. Remove from heat and set aside.
Fill a large deep pot with water and bring to a boil over high heat. Add garlic, ginger, green onions and salt. Add eggplants; cook, turning occasionally, until they are just cooked through and tender when pierced with the tip of a sharp knife, about 8 minutes, depending on thickness of eggplants. Drain, discarding green onions and ginger.
Trim stems from eggplants. Using 2 forks, shred eggplant into long, thin strips.