Going "straight to the horse's mouth" <--- idiom, it turns out that Trine's book is available at Project Gutenberg. I don't know if this is exactly the same thing that the author of your passage means by it, but this is how Trine describes it. It means something like "God, as I choose to understand and experience God."
http://www.gutenberg.org/cache/epub/23559/pg23559-images.html
1) As one comes into and lives continually in the full, conscious realization of his oneness with the Infinite Life and Power, then all else follows. This it is that brings the realization of such splendors, and beauties, and joys as a life that is thus related with the Infinite Power alone can know. This it is to come into the realization of heaven's richest treasures while walking the earth. This it is to bring heaven down to earth, or rather to bring earth up to heaven. This it is to exchange weakness and impotence for strength; sorrows and sighings for joy; fears and forebodings for faith; longings for realizations. This it is to come into fullness of peace, power, and plenty. This it is to be in tune with the Infinite.
2) The great central fact of the universe is that Spirit of Infinite Life and Power that is behind all, that animates all, that manifests itself in and through all; that self-existent principle of life from which all has come, and not only from which all has come, but from which all is continually coming...
...This Spirit of Infinite Life and Power that is behind all is what I call God. I care not what term you may use, be it Kindly Light, Providence, the Over Soul, Omnipotence, or whatever term may be most convenient. I care not what the term may be as long as we are agreed in regard to the great central fact itself.
God, then, is this Infinite Spirit which fills all the universe with Himself alone, so that all is from Him and in Him, and there is nothing that is outside.