In blender, place 1 container French vanilla yogurt and strawberries. Cover; blend until smooth. Spoon 2 tablespoons mixture into each of 5 (5-oz) paper cups. Cover cups with foil; insert craft stick into center of each pop. (Or fill ice pop molds according to manufacturer’s directions.) Put remaining mixture in bowl; cover and refrigerate. Freeze pops about 2 hours or until frozen.
In blender, place Key lime pie yogurt, spinach and apple juice. Cover; blend until smooth. When first layer is frozen, remove foil from pops. Pour about 1 1/2 tablespoons spinach mixture in each cup over frozen layer. Put remaining mixture in bowl; cover and refrigerate. Return foil to pops to support sticks. Freeze about 2 hours or until frozen.
Repeat with remaining strawberry and spinach layers, freezing at least 2 hours between layers.