Combine orange juice, cranberry juice, and sugar in a saucepan over medium-high heat; bring to a boil. Cook, stirring occasionally, for about 5 minutes.

Stir in ½ of the cranberries, pear, orange zest, vanilla extract, star anise, and salt, and return to a boil. Reduce heat and simmer for about 5 minutes.

Add the remaining cranberries and cook, stirring often, until cranberries start to burst and mixture starts to thicken, about 10 minutes.