Disassemble the cauliflower into large inflorescences, removing the head. Peel and cut the carrots into small pieces 3-5 cm long and about 1 cm wide.
Line a baking sheet with baking paper. Place the carrots and cabbage on a baking sheet. Wrap the cloves of garlic, without peeling, in a piece of foil and also send to a baking sheet.
Drizzle vegetables with 2 tablespoon. tablespoons of olive oil, salt and pepper to taste.
Place the baking sheet with vegetables in the oven and bake for 40-50 minutes, until soft. Check the readiness of vegetables by piercing the largest pieces with a fork. If the garlic and cabbage are cooked before the carrots, remove them to a plate and continue baking the carrots until the slices are tender inside.
Peel the baked garlic. Place the garlic, cauliflower, and carrots in a deep bowl. Add 2-3 tablespoon. tablespoons of olive oil, 1 tablespoon. a spoonful of lemon juice and 3-4 tablespoon. tablespoons of cold boiled water.
Grind the mixture with an immersion blender until pureed. In the process of grinding, if necessary, add a little more water (2-3 tablespoons), adjusting the thickness of the mixture to your liking.
Season to taste with salt, ground cayenne pepper, and coriander and, if necessary, a little more lemon juice. Mix thoroughly.
To serve, place the appetizer in a deep plate. With the back of a tablespoon, make small indentations on the surface, forming an arbitrary pattern. Drizzle a snack with 1 tbsp of olive oil and sprinkle with 2-3 pinches of sesame seeds.
The cauliflower and carrot appetizer can be served warm or chilled and can be used as a spread on a sandwich or a thick dip for dipping fresh vegetables or crispy chips. You can make vegetable rolls by greasing a sheet of pita bread with a snack and wrapping slices of vegetables such as cucumbers, tomatoes, or bell peppers in it.