1. Begin by washing the cherries and blackberries thoroughly under running water.
2. Remove the pits from the cherries to ensure they are safe for the baby and cut them in halves.
3. In a medium saucepan, add the pitted cherries, blackberries, and 500 ml of water. Bring to a gentle boil over medium heat.
4. Once boiling, reduce the heat and let the mixture simmer for about 10-15 minutes, or until the fruits are soft and tender.
5. Remove the saucepan from the heat and let the fruit mixture cool slightly.
6. Once cool, transfer the fruit mixture into a blender. Add the whole grain flour and coconut flour to the blender.
7. Blend the mixture until smooth, adding a little more water if needed to achieve a desired consistency for the puree.
8. After blending, pour the puree into a clean bowl or individual baby containers.
9. Allow the puree to cool completely before serving.

Summary:
This Berry Whole Grain Baby Puree is a nutritious and flavorful snack for your little one, packed with vitamins and fiber from the cherries and blackberries. Whole grain and coconut flour provide healthy carbohydrates essential for growing babies. The smooth texture makes it easy for babies aged 4-10 months to swallow and digest.

Storing Options:
Store any leftovers in an airtight container in the refrigerator for up to 3 days or freeze in small portions for longer storage.

Possible Side Effects/Allergies:
Always consult a pediatrician regarding allergies or intolerances, especially for foods like berries and nuts (coconut).