Heat the olive oil in a large pot over medium heat. Add the diced onion and cook until it softens.
Stir in the minced garlic and grated ginger. Cook for one minute until fragrant.
Add the turmeric and berbere spice. Stir for 30 seconds to toast the spices.
Pour in the rinsed lentils, diced tomatoes, and vegetable broth. Bring the mixture to a boil, then reduce to a simmer.
Cover and cook for 25 minutes until the lentils are tender.
Stir in the chopped kale and simmer for another 5 minutes until the greens wilt.
Season with salt and black pepper. Serve with lemon wedges on the side.