Heat the avocado and toasted sesame oil in a large skillet or wok over medium heat. Add the shallots and cook, stirring, until softened, about 2 minutes.
Add the red curry paste, green beans, salt, and pepper. Cook, tossing often, until the green beans are crisp-tender, about 5 minutes.
Add the garlic, coconut aminos, fish sauce, and coconut sugar. Stir to combine and bring to a simmer. Continue to cook, tossing, so that the green beans are well coated in the sauce, 2 to 3 minutes.
Reduce the heat to medium-low. Add the lime juice, Thai basil leaves, and cilantro and stir until the basil just wilts.
Serve over prepared rice or cauliflower rice.