"Offering" also has another beautiful efffect, that has some deeper theology.

Offering often involves physical matters, pains, efforts, physical work, paying great attention to some task, practicing exactitude, etc.

Offering "unites" our own faculties:  our intellect, our body, our will, our hopes, etc.

It is "integrative", and it reflects our true nature: we are souls with bodies.

This is actually a form of "reconciliation", reconciling the self and its faculties, which can become out of synch, non-reinforcing

In a sense - but less so - its' like going to the Sacrament of Confession - another and greater means of Reconciliation

The will tells the body to move  (a movement toward unity).  The brain has to examine its conscience in order to form words (an act of the intellect) about our sins to a priest.

And then we attempt to stir up sorrow/contrition for our souls, while the will forms an intention/a decision to be better, to begin again.

So "offering" is deep and rich stuff.