Preheat the oven to its lowest setting, or have a hot car ready. Line a baking sheet with a silicone mat or microwave-safe plastic wrap.
Combine figs, raspberries, lemon juice and 1/2 cup water in a large pot. Depending on how sweet your fruit is, you may want to add a tablespoon or two of sugar. Bring to a boil, then reduce heat to low. Simmer until the fruit is soft. Puree the mixture in a blender or with an immersion blender.
Pour onto the prepared baking sheet. Gently shake the baking sheet to spread out the fruit puree.
Bake until the fruit is mostly dried out, but still a little sticky.
Cool completely and then cut into strips. Store in a tightly sealed container.