Short answers, pulled from the story.
Vergil describes the Lusus Troiae as a final event in games held to commemorate the anniversary of the death of Anchises. The drill features three troops each made up of twelve riders, a leader, and two armor-bearers performing intricate maneuvers on horseback.
Julius Caesar revived the lusus Troiae in 45 or 46 BC perhaps in connection with his family claim to have descended from Iulus. Iulus is the son of Aeneas who rides a horse that was a gift from the Carthaginian queen Dido.
Augustus established the lusus Troiae as a regular event after taking power and Young Tiberius led a turma at games celebrating the dedication of the Temple of the Divine Julius on the 18th of August 29 BC. The game continued under other emperors of the Julio-Claudian dynasty including Nero who participated in 47 AD at age nine along with Britannicus during events called ludicrum Troiae by Tacitus.
Vergil explicitly compares the patterns of the drill to the Cretan Labyrinth which was associated with the geranos crane dance taught by Theseus. Theseus taught the Athenian youth he rescued from the Minotaur there how to perform the dance.
A late 7th-century Etruscan wine-server from Tragliatella depicts mounted youths emerging from a labyrinth with legend TRUIA. This artifact suggests pre-Roman roots or influences on the Troy Game according to scholars studying religious significance in games.