Functions in the N-end rule pathway of protein degradation where it conjugates Leu from its aminoacyl-tRNA to the N-termini of proteins containing an N-terminal aspartate or glutamate. L-leucyl-tRNA(Leu) + N-terminal L-glutamyl-[protein] = H(+) + N-terminal L-leucyl-L-glutamyl-[protein] + tRNA(Leu) L-leucyl-tRNA(Leu) + N-terminal L-aspartyl-[protein] = H(+) + N-terminal L-leucyl-L-aspartyl-[protein] + tRNA(Leu) Belongs to the R-transferase family. Bpt subfamily.