The Church is good for the family, the family is good for the Church.
In several passages, the Exhortation presents the teaching of the Catholic Church about the family as a domestic church:
“Within the family ‘which could be called a domestic church, individuals enter upon an ecclesial experience of communion among persons…The Church is a family of families, constantly enriched by the lives of all domestic churches. In virtue of the sacrament of matrimony, every family becomes, in effect, a good for the Church. From this standpoint, reflecting on the interplay between the family and the Church will prove a precious gift for the Church in our time. The Church is good for the family and the family is good for the Church. The experience of love in families is a perennial source of strength of the life of the Church…”(AL 86-88).

We also find precious references to the family as a witness of faith among its members and mankind:
“The work of handing on the faith to children, in the sense of facilitating its expression and growth, helps the whole family in its evangelizing mission. It naturally begins to spread the faith to all around them even outside the family circle. Children who grew up in missionary families often become missionaries themselves; growing up in warm and friendly families, they learn to relate to the world in this way, without giving up their faith or their convictions.” (AL 289).
The document refers the Pope’s words at the general audience of August the 26th, 2015, with a touching image:“…it is beautiful when mothers teach their little children to blow a kiss to Jesus or to Our Lady. How much love there is in that! At that moment the child’s heart becomes a place of prayer” (AL 287).
Christian families are effective carriers of the Gospel in society”…by the grace of the sacrament of matrimony…above all through their joy-filled witness as domestic churches” (AL 200).
The Church is grateful “…to the families who remain faithful to the teachings of the Gospel, encouraging them and thanking them for the testimony they offer. For they bear witness, in a credible way, to the beauty of marriage as indissoluble and perpetually faithful.” (AL 86);
And at number 290: “The family is thus an agent of pastoral activity through its explicit proclamation of the Gospel and its legacy of varied forms of witness…openness to a diversity of people, the protection of creation, moral and material solidarity with other families, including those most in need, commitment to the promotion of the common good…all this is an expression of our profound Christian belief in the love of the Father who guides and sustains us, a love manifested in the total self gift of Jesus Christ, who even now lives in our midst and enables us to face together the storms of life at every stage…All of us should be able to say ‘Thanks to the experience of our life in the family: “We come to believe in the love that God has for us.” Only on the basis of this experience will the Church’s pastoral care for families enable them to be both domestic churches and a leaven of evangelization in society”.
(Comment by Jesus Moran at the meeting of the New Family Secretariats held in Castel Gandolfo from 3 to 6 November 2016)