Preheat the oven to 325°F (163°C). Line an 8x8-inch baking pan with parchment paper, leaving an overhang to lift the bars out easily.
In a large bowl, whisk together 1 cup applesauce, 1/3 cup honey, 1/4 cup honey, 1 teaspoon ground cinnamon, and 3/4 teaspoon vanilla extract until smooth and combined.
Add 2 1/2 cups rolled oats to the wet mixture and stir until all oats are moistened and evenly coated.
Fold in 1 cup chopped almonds, 1/3 cup chopped dried figs, 1/3 cup chopped dried dates, and 1/3 cup raisins until evenly distributed.
Turn the mixture into the prepared pan and press firmly and evenly into an even layer so the mixture is tightly packed.
Bake for 25 minutes, until the edges are lightly golden.
Remove from the oven and transfer to the freezer. Chill until the bars are firm, at least 1 hour.
Lift the set mixture from the pan using the parchment overhang, place on a cutting board, and cut into 8 to 12 bars as desired.