Position knife blade in food processor bowl; add artichoke hearts, 1/2 cup cheese and garlic. Pulse 4 times or until artichoke hearts are finely chopped. Set aside.
Place 1 phyllo sheet on wax paper (keep remaining phyllo covered). Lightly brush phyllo sheet with oil portion of reserved marinade; sprinkle with 2 tsp of remaining cheese. Top with another phyllo sheet; brush lightly with oil portion of reserved marinade.
Cut phyllo sheet in half lengthwise. Cut each half crosswise into thirds, making 6 sections, each measuring approximately 6 x 5 inches. Place a heaping tsp of artichoke mixture in center of each phyllo section. Gather corners of phyllo over filling, and gently twist to close. Place on a lightly greased baking sheet. Repeat procedure with remaining phyllo sheets, marinade, cheese and artichoke mixture.
Bake at 350° F for 14 minutes or until golden. Serve immediately.Servings: 30