Textures do not automatically follow imported objects into Invigorator.
You may apply textures to some, but not all 3D objects you import into Invigorator. You do this by applying materials to the object, as you would any other Invigorator model. (materials are the way we describe a combination of surface attributes including color, specularity, image maps, bump maps, transparency maps, etc.). Unlike native Invigorator objects, there is a limit of one material per imported object... you would have to break down a complex imported model into separate parts to apply more than one material.