Abstract: The present disclosure provides engineered Class 2 CRISPR-Cas-associated discontinuous first-stem nucleic-acid targeting nucleic acids, nucleoprotein complexes comprising these nucleic acids, and compositions thereof. Nucleic acid sequences encoding the Class 2 CRISPR-Cas-associated discontinuous first-stem nucleic-acid targeting nucleic acids, as well as expression cassettes, vectors and cells comprising such nucleic acid sequences, are described. Also, methods are disclosed for making and using the Class 2 CRISPR-Cas-associated discontinuous first-stem nucleic-acid targeting nucleic acids, nucleoprotein complexes comprising such nucleic acids, and compositions thereof.