Preheat the oven to 375 degrees. Cut the acorn squash in half and scoop out the guts and the seeds.
Drizzle a little bit of olive oil on the inside and place face down on a lined baking sheet. Bake for 20-25 minutes, when it is soft enough to easily stick a fork all the way into the flesh.
While the squash is baking, make the filling. Combine the rice and broth in a small pot, cover, and bring to a boil. Once boiling, reduce to a simmer, and let cook for 20-25 minutes (or according to package instructions).
Preheat a medium sized skillet over medium heat. Add 2 tbsp olive oil, and sauté the mushrooms and carrots for 4-5 minutes, until soft and lightly brown. Add the garlic, kale, salt, pepper and paprika, stir for another 1-2 minutes, until the kale wilts.
Remove the skillet from the heat and add the cooked rice to the vegetable mixture and stir to combine.
To serve, spoon the mixture into each of the little squash bowls. You should have enough filling to completely fill each squash.
Serve and enjoy!