Spray an 8 inch square pan with nonstick cooking spray. Line the pan with a piece of parchment paper, allowing two sides to come over the edges of the pan.
In a large mixing bowl, combine crust ingredients and blend well.
Pour mixture into prepared pan and press firmly onto the bottom and approximately ½ inch up the sides.
Bake crust for 10 minutes.
Remove from oven and allow to cool.
Lower the oven temperature to 325 degrees Fahrenheit.
In the bowl of an electric mixer, using the paddle attachment, combine the cream cheese and sugar and blend on medium-high speed until light and smooth.
Add yogurt and blend well.
Combine vanilla and eggs in a liquid measuring cup.
Add one egg at a time to the electric mixer and blend on medium speed until combined. Continue to add the eggs, thoroughly blending each egg before adding the next.
Remove 2 tablespoons of batter into one small mixing bowl, and another 2 tablespoons into another small mixing bowl.
Color one bowl red and one green, and blend in food coloring thoroughly.
Pour each colored batter into its own pastry bag fitted with a small plain round tip.
Pour the remainder of the batter into the cooled crust. Pipe straight lines across the batter, alternating colors. Using a thin skewer, create swirls and patterns through the colors.
Bake for 30-40 minutes or until edges are set. The center will still be slightly jiggly and will firm up as it cools.
Cool completely and refrigerate until chilled. Cut into small squares or any shape desired.
Notes
Makes 1 8-inch square pan to be cut any way you wish