A novel soybean variety, designated XB35AT11 is provided. Also provided are the seeds of soybean variety XB35AT11, cells from soybean variety XB35AT11, plants of soybean XB35AT11, and plant parts of soybean variety XB35AT11. Methods provided include producing a soybean plant by crossing soybean variety XB35AT11 with another soybean plant, methods for introgressing a transgenic trait, a mutant trait, and/or a native trait into soybean variety XB35AT11, methods for producing other soybean varieties or plant parts derived from soybean variety XB35AT11, and methods of characterizing soybean variety XB35AT11. Soybean seed, cells, plants, germplasm, breeding lines, varieties, and plant parts produced by these methods and/or derived from soybean variety XB35AT11 are further provided.