Composites made from at least two plies are described, where one of the outer layers is a layer comprising glass fibers, and in particular is a staple glass fiber nonwoven. The layers have been bonded to one another by needling, and the extent of this needling is such that some of the fibers of the organic nonwoven emerge from the surface of the glass fiber sheet. The composite is then provided with a binder by using a rotating roll for single-side application to the glass fiber surface. The composites are particularly suitable for producing bituminized prefabricated roofing and waterproofing sheets, and as backings for coatings, e.g. PVC coatings.