In a mixing bowl, combine yogurt, heavy cream, sugar, and vanilla extract. Mix until well combined.

Chill the mixture in the refrigerator for about 30 minutes.

Pour the chilled mixture into an ice cream maker and churn according to the manufacturer's instructions.

During the last few minutes of churning, add in the crushed cookies.

Transfer the frozen yogurt to an airtight container and freeze for at least 2 hours before serving.