Pierce eggplants all around with a fork.
Char over open flame, or roast at very high heat until fully soft.
Peel, season with salt, and let rest while you prepare everything else.
Crush garlic with salt, add pine nuts and work into a rough paste.
Add basil and pound until broken down but still textured.
Mix in parmesan, then slowly add olive oil until thick, not runny.
Taste and adjust salt.
Mix yoghurt and pesto and set aside.
Mix oregano gremolata ingredients together and taste for salt and pepper.
Fry basil in neutral oil for ~30 seconds until just crisp, still green.
Drain on paper towel and season with a little salt.
Spread pesto yoghurt on a plate.
Place eggplant on top and gently open it up.
Spoon over gremolata generously.
Add burrata, then anchovies.
Finish with crispy basil.
Serve and enjoy
