First, use a knife and cutting board to slice the onion and peel and mince the ginger.
Add the sesame oil and turkey sausage to a medium pot over medium heat. Cook, breaking the sausage up with a wooden spoon, until the meat is mostly cooked through. Then, add the sliced onion and mushrooms and cook an additional 5 minutes while stirring intermittently. Next, add the minced garlic and ginger and cook for 2 additional minutes while stirring.
Add the broth, tamari and chili garlic sauce. Bring to a boil, then reduce heat to medium-low and simmer for 5 minutes.
Just before serving, remove the soup from the heat and stir in the kale. Serve immediately before the kale gets too wilted and soggy.