Substrate-specific adapter of a BCR (BTB-CUL3-RBX1) E3 ubiquitin-protein ligase complex required for mitotic progression and cytokinesis. The BCR(KLHL9-KLHL13) E3 ubiquitin ligase complex mediates the ubiquitination of AURKB and controls the dynamic behavior of AURKB on mitotic chromosomes and thereby coordinates faithful mitotic progression and completion of cytokinesis. Protein modification; protein ubiquitination. Component of the BCR(KLHL9-KLHL13) E3 ubiquitin ligase complex, at least composed of CUL3, KLHL9, KLHL13 and RBX1. Interacts with AURKB.