Catalyzes the transfer of beta-galactose from UDP-galactose to position 4 of alpha-1,6-linked fucose at the reducing end GlcNAc in N-glycan cores (PubMed:19858195). Involved in susceptibility to the nematotoxic C.cinerea galectin Cgl2, likely by contributing to the synthesis of core alpha-1,6-fucosylated N-glycans to which Cgl2 binds (PubMed:20062796). Can also use Fe(2+) and Co(2+). Inhibited by EDTA, Cu(2+) and Zn(2+). Localizes to vesicles or organelles in coelomocytes. Expressed in intestine and coelomocytes. N-glycosylated. Belongs to the glycosyltransferase 92 family.