Her teacher at the Liszt Ferenc University of Music (2007-2012) was Júlia Pászthy, and in the 2011/2012 academic year she also graduated from the Florence Conservatory, where she was a student of Leonardo de Lisi.
She participated in the master classes of Barbara Bonney, Kiri Te Kanawa, Éva Marton, Klára Kolonits, Nancy Argenta, Masaaki Suzuki, Alfred Brendel, Ferenc Rados, Sass Sass, Deborah York, Nicholas Clapton and Andrea Meláth.
Among other things, she won third place at the Antonín Dvořák International Singing Competition in Karlovy Vary.
In 2011, she won First Prize at the Second International Singing Competition for Baroque Opera in Innsbruck, as well as the Grand Prix of the Verbier Festival.
Baráth is particularly known for the title roles of Cavalli operas, Elena with Leonardo García Alarcón 2013, and Hipermestra at the Glyndebourne Festival for William Christie in 2017.