Preheat oven to 400 degrees F. Line a baking sheet with parchment paper. To easily cut the squashes, pierce butternut squash and acorn squash with a paring knife.
In a large pot, heat olive oil over medium-high heat. Add onions, garlic, and carrots. Saute for about 3 minutes, until onions start to become translucent.
Stir in the chickpea miso, cashews, butternut squash, acorn squash, and apple. Stir to combine. Add the vegetable broth and water, covering the vegetables.