Cpf1, a type-V CRISPR-Cas effector endonuclease, exhibits gene-editing activity in human cells through a single RNA-guided approach. Here, we report the design and assessment of an array of 42 types of engineered Acidaminococcus sp. Cpf1 (AsCpf1) CRISPR RNAs (crRNAs) and 5 types of AsCpf1 mRNAs, and show that the top-performing modified crRNA (cr3'5F, containing five 2'-fluoro ribose at the 3' termini) and AsCpf1 mRNA (full ψ-modification) improved gene-cutting efficiency by, respectively, 127% and 177%, with respect to unmodified crRNA and plasmid-encoding AsCpf1. We also show that the combination of cr3'5F and ψ-modified AsCpf1 or Lachnospiraceae bacterium Cpf1 (LbCpf1) mRNAs augmented gene-cutting efficiency by over 300% with respect to the same control, and discovered that 11 out of 16 crRNAs from Cpf1 orthologs enabled genome editing in the presence of AsCpf1. Engineered CRISPR-Cpf1 systems should facilitate a broad range of genome editing applications.