You have already given the name of this age.
It is called Augustan Age. It is one of the two periods of what has
been called the Golden Age of Latin literature, which is seen as
the best period of Latin literature. It was subdivided into the
Ciceronian Age (named after Cicero) and the Augustan Age. The
Ciceronian age has now been renamed the Republican period. Among
the prominent writers of this period we can mention Marcus
Terentius Varro , Titus Lucretius Carus, Gaius Helvius Cinna, Gaius
Valerius Catullus, Gaius Licinius Macer Calvus,and, of course,
Marcus Tullius Cicero. The greatest writes of the Augustan Age were
Virgil (Publius Vergilius Maro), Horace (Quintus Horatius Flaccus),
and Ovid (Publius Ovidius Naso), with whom the age needed. Other
prominent writers include Sextus Aurelius Propertius, Albius
Tibullus, Grattius Faliscus, Marcus Verrius Flaccus, Gaius Valgius
Rufus and Livy (Titus Livy).
The Golden Age of Latin literature was
followed by the Silver Age.