Sky Sports says, Costa is a well renowned name across Europe, as a former head coach for Ligue 2 side Claremont - when she became the first woman to manage a senior mens side in one of the top two divisions in Europe in 2015.
She also spent time with Glasgow Celtic's backroom staff, Iran and Qatar's woman's national team and holds a UEFA A License.
Eintracht director of football Fredi Bobic hailed her extensive knowledge of European football upon her arrival.
Sky Sports report says, "She has real knowledge of football and has already experienced a great deal in her life in the sport. We want scouts who live in and know the countries where we're looking for talent."