The invention is a golf club head with a ball striking face including a plurality of recesses, a plurality of first grooves, and a plurality of second grooves that extend between a heel edge and a toe edge of the club head. The ball striking face includes a first material, for example a metal material, and the plurality of recesses are filled with a fill material, for example a polymer material. The depth of the grooves, the height of the grooves, the fill material, and the positioning of the grooves can all affect the performance of the club head. In some embodiments, the club head is a putter-type club head.