The basic premise of a consecration to Jesus through Mary is that Jesus came into the world through Mary and that we can be closest to Jesus through her.
Marian Consecration Options
One may also begin a consecration with the Immaculata Consecration prayer and renew it each day or as needed with the brief version; both are below.
O Immaculata, Queen of Heaven and Earth, refuge of sinner and most Loving Mother, God has willed to entrust the entire order of mercy on to you. I, [your name], a repentant sinner, cast myself at your feet, humbly imploring you to take me with all that I am and have, wholly to yourself as your posseession and property. Please make of me, of all my powers of soul and body, of my whole life, death and eternity, whatever most pleases you. If it pleases you, use all that I am and have without reserve, wholly to accomplish what was said of you: "She will crush your head," and "You alone have destroyed all the heresies in the world."
Let me be a fit instrument in your immaculate and merciful hands for introducing and increasing your glory to the maximum in all the many strayed and indifferent souls, and thus help extend as far as possible the Blessed Kingdom of the Most Sacred Heart of Jesus. For wherever you enter, you obtain the grace of conversion and growth in holiness, since it is through your hands that all graces come to us from the most Sacred Heart of Jesus.
V. Allow me to praise you, O Sacred Virgin.
R. Give me strength against your enemies.
Immaculata, Queen and Mother of the Church, I renew my consecration to you for this day and for always, so that you might use me for the coming of the Kingdom of Jesus in the whole world. To this end I offer you all my prayers, actions and sacrifices of this day.