Heat eight to ten 1-cup jars and lids.

In a large, heavy pot, combine pears, apples, celery, bell pepper, and ginger. Stir in lemon zest and juice, sugar, brown sugar, cinnamon, and coriander. Bring to a full rolling boil over high heat, stirring constantly. Stir in pectin and boil hard, stirring constantly for 1 minute. Remove from heat and skim off foam.

Half-fill hot jars. Slide a cinnamon stick down the side of each jar, if using. Finish filling jars, leaving 1/4-inch headspace. Run a thin, nonmetallic utensil around the inside of the jar to remove air. Top with lids. Process jars at a full rolling boil for 10 minutes.