If using plain yogurt, mix with honey until blended.
Scoop out two measures of 1 Tablespoon each from the yogurt. Set these aside. (You will add one tablespoon to blueberries and one tablespoon to strawberries before adding to molds.)
Spoon the remaining yogurt into the popsicle molds, dividing between the number of cups you are using. Fill approximately ⅓ way. Lift mold and shake to help yogurt fall to ends of cups.
Puree' blueberries in food processor or blender until nearly smooth.
Add 1 Tablespoon yogurt to blueberries and mix well.
Now, spoon blueberries into molds, dividing equally between the number of molds you have. Leave 2 inches at top for strawberries.
Blend or process strawberries in same manner and add remaining 1 tablespoon yogurt to strawberries and stir well. Fill strawberries to the top of the molds.
Give one last good shake to help all air pockets rise to the top.
Using one of the popsicle sticks, stir ingredients in molds just a bit to swirl.
Add your popsicle sticks and freeze for at least 4 hours.