In a large soup pot, heat the olive oil over medium heat on the stove top. Add in the chopped onions and garlic and sauté for 4 to 5 minutes until the veggies become translucent. Add in the chopped carrots and celery, and sauté for an additional 4-5 minutes.
Add in the vegetable stock and bring the pot to a boil. Reduce heat to low and simmer for 15 minutes or until the carrots and celery are cooked through.
Add in the chopped kale, the vegan ground beef or sausage, acini di pepe pasta, lemon juice, salt and coconut milk. Stir well, and simmer for an additional 15 minutes until the kale is soft. Taste and add more salt if desired. Top with fresh parsley.
Serve soup hot. Store leftovers in an airtight container and refrigerate for up to 4 days.