Remove casings from sausage links; crumble sausage or cut into bite-sized pieces.

Heat olive oil in a skillet over medium-high heat. Add onion; saute until it starts to soften, about 4 minutes. Stir in 2 teaspoons garlic; cook for 1 minute. Stir in sausage and cook until browned, about 5 minutes. Add a splash of olive oil and remaining garlic. Cook for 1 minute. Add kale and broth; season liberally with salt, pepper, and red pepper flakes. Toss until kale is coated with the mixture and wilted, 3 to 5 minutes.

Meanwhile, bring a large pot of liberally salted water to a boil. Cook gnocchi in the boiling water until they float to the top, 2 to 4 minutes. Drain.

Add gnocchi, pesto, cream, and Parmesan cheese to the wilted kale and sausage mixture; toss gently. Reduce heat to medium-low; stir until Parmesan has melted. Season with salt and pepper.