The name Servants (Servidoras) is a reference to (a) the faithful women who stood at the foot of the cross (Luke 8: 1-3) and (b) the term used by St. Louis Marie Grignion de Montfort in his True Devotion, 56.
The second part of the name, “of the Lord and the Virgin of Matará (del Señor y la Virgen de Matará) refers to the Crucified Christ and His Blessed Mother as found on the Cross of Matará worn by the sisters, since Jesus on His Cross and the Virgin Mary must be the foundations of our spirituality.