1 to 2 tablespoons coarsely chopped flat-leaf parsley
Light a grill or preheat the broiler. Pierce the eggplant in several places with a fork and grill over a medium-low fire or broil as far from the heat as possible for 20 to 30 minutes, turning occasionally, until the eggplants are tender throughout when pierced. Let cool slightly.
Halve the eggplants lengthwise and scoop the flesh into a food processor. Add the garlic, tahini, lemon juice and yogurt and pulse to combine; season with salt and pepper. Transfer the dip to a serving bowl and refrigerate until chilled, about 1 hour. Top with the goat cheese, sprinkle with the chopped parsley and serve.