Begin by preheating your oven to 180°C (350°F) and preparing a baking sheet lined with parchment paper.
In a large mixing bowl, combine the shredded cabbage, grated carrot, eggs, salt, black pepper, oat flakes, grated cheese, flour, and minced garlic. Mix well to ensure the ingredients are evenly distributed.
Heat the olive oil in a pan over medium to low heat. Once hot, form patties from the mixture and place them in the pan. Cook each patty until golden brown on both sides, ensuring they are cooked through but still moist on the inside.
Transfer the browned patties to the prepared baking sheet and bake in the preheated oven for 30-35 minutes, or until they are thoroughly cooked and have a crispy exterior.
While the patties are baking, prepare the yogurt dip by mixing the thick yogurt with a pinch of salt. Set aside for serving.
Once the patties are done, let them cool slightly before serving. Serve the fritters with the yogurt dip on the side, garnished with chopped walnuts and dill.