A strip tillage implement includes a frame, a plurality of row units and a plurality of auxiliary tillage units. The plurality of row units are carried by the frame and spaced apart from each other at a common row spacing, with each row unit being configured for preparing a strip of soil for application of a crop input. The plurality of auxiliary tillage units are located between the row units and spaced apart from each other at the common row spacing, with each auxiliary tillage unit being configured for at least partially processing remains from an already harvested row of crop material.