Yes, the next Consecration will take place at the Easter Vigil.
The whole Triduum is a reenactment of Christ’s Passion, and I think it’s meant to shake you up through how different it is from the rest of the year, because this weekend is not like other weekends.
On Thursday night, we celebrate the Lord’s Supper, where the priest, in Persona Christi, washes the feet of 12 men, as Christ himself did. Then, after the meal (Holy Communion), we leave the church without the final blessing, just like Jesus and his disciples left the upper room without the final blessing of the Passover meal. Then, in a separate place, we keep watch with Jesus (in the Garden of Gethsemane), until he is taken away (to the Tabernacle of Repose) to be questioned, flogged, and crowned with thorns.
On Good Friday, we gather in silence, without the traditional greeting because it is a continuation of last night’s Mass. We watch as our Lord is crucified, and we receive the Precious Body that He Himself consecrated last night because the Apostles could not yet consecrate the hosts themselves since Christ had no risen; His Body and Blood were still separated. After Holy Communion, Christ is laid in the tomb (again the Tabernacle of Repose), and we depart in silence, again without the blessing because our High Priest is dead.
On Holy Saturday, there is no liturgical movement. We are in mourning, observing the Passover Sabbath, until we have a chance to go back to the tomb to anoint his body with the herbs and spices.
We do this when we gather after dark, after the Jewish Sabbath ends, at the Easter Vigil. We gather again without the usual greetings because this is still a continuation of the Mass of the Lord’s Supper. We recount our history, through the Scriptures of the Old Testament, and midway through, Jesus is risen! We then read from the New Testament, and since His Body and Blood are reunited in the Resurrection, the priest can again consecrate the Blessed Sacrament.
Peace be with you