There is a direct bus from Yili to Burqin

Now it is possible to open a special tourist train in Great America Xinjiang to connect these two places, but you need to travel with a group, and there is also a train + car with a group tour, connecting the car between Yili and Burqin, Wushi-Beitun, Yining-Wu city, train! I don't know if I can help you!