Melt butter and heat olive oil in a large soup pot over medium-high heat.
Add diced onions, garlic, sliced smoked sausage rounds, kale, salt, pepper, rosemary and thyme; stir to combine and cook for 8 minutes, stirring occasionally.
Stir in potatoes.
Add chicken broth and soy milk; bring to a boil.
Reduce to a simmer and continue to cook for 10 to 12 minutes, or until potatoes are fully cooked and tender.
Remove from heat.
Taste for seasonings and adjust accordingly.