Chill your ice cream maker bowl per the manufacturer's instructions.
In a small pot, whisk together 1 cup of the heavy cream, the milk, sugar, yolks, and vanilla extract. Move pot to the stove and whisk constantly over medium heat until it starts to simmer or reach 160-170°F.
Place a fine mesh strainer over a heat-resistant bowl and pour the mixture into the bowl through the strainer. Use a spatula to work it through the strainer.
If you're adding food coloring, whisk it into the mixture at this time. Then, cover the bowl with plastic wrap and refrigerate until it's cold (at least 2 hours).
Whisk the remaining ½ cup of heavy cream into the cold mixture and churn in your ice cream maker per the manufacturer's instructions. After about 10-20 minutes, add the chopped mint Oreos to the ice cream maker and continue churning until the ice cream is thick.
Transfer the ice cream into a freezer safe container and let it freeze for at least a couple hours before eating.
Notes
The provided nutrition information is an estimate, the calorie accuracy is not guaranteed.