A method for reducing material accumulation relative to ground-engaging tools of a tillage implement may include monitoring, with a computing device, an accumulation parameter as a tillage operation is being performed, wherein the accumulation parameter provides an indication of material accumulation relative to a plurality of ground-engaging tools of the tillage implement. The method may also include comparing, with the computing device, the accumulation parameter to a material accumulation threshold, wherein the material accumulation threshold is indicative of a given degree of material accumulation relative to the plurality ground-engaging tools. In addition, based on the comparison between the accumulation parameter and the material accumulation threshold, the method may include controlling, with the computing device, an operation of at least one component of the tillage implement to execute a control action for reducing an amount of the material accumulation relative to the plurality of ground-engaging t
