Wash the figs, remove the stems, and chop them into small pieces. Measure 4 ½ cups of chopped figs and set aside.
Finely zest the oranges, avoiding the bitter white pith. Measure 3 tablespoons of zest and reserve 1 tablespoon to add toward the end of cooking.
In a small bowl, mix ¼ cup of granulated sugar with the pectin, set aside
In a large, heavy-bottomed saucepan, combine the chopped figs, orange and lemon juice and 2 tablespoons orange zest. Stir in the powdered pectin sugar mixture until thoroughly combined.
Place the pan over high heat, stirring constantly. Bring the mixture to a full rolling boil that cannot be stirred down.
Add the remaining sugar, both the granulated and brown sugars all at once. Continue stirring until the sugar dissolves completely. Return the mixture to a full rolling boil. Set a timer and boil for exactly 1 minute, stirring constantly. Remove from the heat.
Stir in the vanilla extract and reserved teaspoon of orange zest. Skim off any foam if necessary.
Ladle the hot jam into clean, sterilized canning jars. Leaving about ¼ inch of headspace.
Wipe the tops of the jars with a clean damp cloth. Add the lid and screw on the ring. Process in a hot water bath for 10 minutes to seal the jars.