Cuarto made his professional debut on June 28, 2014, scoring a four-round unanimous decision (UD) victory against Rodante Suacasa at the Almendras Gym in Davao City, Philippines.
[3] After compiling a record of 15–1–1 (9 KOs), he defeated Clyde Azarcon via twelve-round UD at the Gaisano Mall of Davao, Philippines, to capture the vacant WBO Oriental mini-flyweight title.
[4] Following four more fights–two wins, one loss and a draw–he challenged IBF mini-flyweight champion Pedro Taduran on February 27, 2021 at the Bula Gym in General Santos, Philippines.
The bout was stopped due to a cut on Taduran's forehead, which was caused by an accidental clash of heads in the sixth round, after which Cuatro was awarded the majority decision.
[14] After he successfully bounced back from his third professional loss, Cuatro was ordered by the IBF to face Ginjiro Shigeoka for the interim mini-flyweight championship, as the reigning champion Daniel Valladares was sidelined with an injury.