RNA and DNA was synthesized in vitro by

RNA and DNA were synthesized in vitro by Ochoa and Kornberg.
Severo Ochoa won the 1959 Nobel Prize in Medicine after he discovered how RNA is synthesized.
Kornberg was able to synthesize DNA from a variety of sources with this polymerase.
Artificial DNA or RNA synthesis, a fundamental tool of synthetic biology, enables scientists to create complex NA molecules of virtually any sequence without a template.
DNA synthesis occurs when these nucleotide units are joined to form DNA; this can occur artificially (in vitro) or naturally (in vivo).