Whisk your egg yolks and sugar in a bowl. Do this until the mix looks pale.
Heat the cream, milk, and cinnamon sticks in a pot. Be careful. Keep it hot, but do not let it boil.
Slowly whisk the warm milk into your yolks. Pour it all back into the pot.
Cook and stir until it gets thick. Strain the liquid to remove the sticks and let it cool down.
Crumble half of your prepared cinnamon rolls into the cooled base.
Pour into a container. If you have a machine, use it. If not, freeze for 4 to 6 hours.
Fold in the rest of the cinnamon rolls. Keep it in the freezer until firm.