For the aioli, peel the garlic and press it through a garlic press. Wash the thyme, dab dry and pluck the leaves from the stalks. Cream egg yolk, lemon juice, sugar, salt and pepper.
Slowly fold in the oil until everything has a creamy consistency. Stir the garlic and thyme, except for a few leaves, into the aioli to garnish. Clean, wash and peel the asparagus. Clean, wash, peel and slice the carrots.
Clean and wash the sugar pods. Cook the asparagus in boiling salted water for 18-20 minutes. Cook carrots in boiling salted water for about 8 minutes, add sugar pods after 5 minutes of cooking time and cook until done.
Peel and finely chop the onion. Wash the chives, dab dry and cut into small rolls. Pluck the basil from the stalk and cut into strips, except for a few leaves for garnishing. Heat the fat in a frying pan, fry the onions until golden brown, add the chives and basil and mix.
Arrange the vegetables on a plate, garnish with basil and garnish with the onion herbs. Serve aioli in a small bowl, sprinkled with the remaining thyme leaves extra.