A printed product is produced by applying at least one colored and water-containing ink to image regions on a printing material in a drop-on-demand process, applying a substantially colorless and water-containing liquid a) to non-image regions and/or b) to image regions that have little ink in a drop-on-demand process and drying the printing material. In this case, the printing material has a coating with at least one acid. After applying ink and applying the liquid, a water-containing further liquid is applied both to image regions and to non-image regions of the printing material. The first-mentioned liquid and/or the further liquid contains at least one substance for at least partly neutralizing the acid. The undesired formation of crease waves or curls and glossiness fluctuations between varnished image areas and varnished non-image areas is thus advantageously avoided.