The large moth family Gelechiidae contains the following genera:
Tabernillaia Tahla Tanycyttara Taygete Tecia Teleiodes Teleiopsis Telephata Telphusa Tenera Thaumaturgis Theisoa Thiognatha Thiotricha Thistricha Thriophora Thrypsigenes Thymosopha Thyrsostoma Tila Tildenia Tiranimia Tornodoxa Tosca Toxidoceras Toxotacma Trachyedra Tricerophora Trichembola Tricyanaula Tricyphistis Tritadelpha Trychnopalpa Trypanisma Trypherogenes Tsochasta Turcopalpa Tuta
References
Natural History Museum Lepidoptera genus database