having made known to us the mystery of His will [this past participle of revelation is the first of a series of mysteries]
according to His good pleasure (kindness) [a relative phrase of reason or causation]
which He exhibited (purposed, set forth) [referring back to the unfolding or manifestation of the grace]
in Him [the third reference to Christ as the centre of all operations]
in the administration (dispensation, plan) [a prepositional phrase referring to the magnitude of scope of the plan is unfolding IN CHRIST]
at the right time (in the fullness of time) [a temporal prepositional phrase setting the time frame for the action]
to bring everything under the headship (authority) of Christ [an infinitive clause of purpose or intent; the end point]
the in-the-heaven things [a noun phrase of explanation of the “everything” referred to above]
and the in-the-earth things [the second noun phrase of explanation of the “everything” referred to above]
in Him
Ephesians 1:9, 10
I promised you yesterday I would make it clearer in a diagram. I have included the diagram.
I hope it helps you to understand the structure of this part of the sentence and the overall structure of the Book of Ephesians. The letter is very well constructed and full of meaning. The way Paul has constructed his thought emphasises the significance of all that is contained or encompassed in the package “under Him”. More literally “in Him”. All things are under Him. We are “in Him” and therefore should be “under Him”. I.e. Submitted to his headship.
In Colossians Paul takes a wider view and says:
Christ is the visible image of the invisible God.
  He existed before anything was created and
    is supreme over all creation,
     for through Him God created everything
                   in the heavenly realms and
                   on earth.
   He made the things we can see and
       the things we can’t such as thrones, kingdoms, rulers, and authorities in the unseen world.
                 Everything was created through Him and for Him.
   He existed before anything else, and
   He holds all creation together.
Christ is also the head of the church,
                which is His body.
   He is the beginning,
      supreme over all who rise from the dead.
 So He is first in everything.
For God in all His fullness was pleased to live in Christ,
   and through Him God reconciled
          everything to Himself.
   He made peace with everything
            in heaven and
            on earth
               by means of Christ’s blood on the cross.
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Colossians 1:15-20
Remember I told you that Colossians and Ephesians are very similar and many of the same concepts are expressed but from different angles.
Notice too the importance of coming under / submitting to the headship of Christ is a strong message of Ephesians. You will need to give it some significant thought. Link it also to the thoughts of submission. Submission is an important theme in Ephesians. All of these ideas are linked together. It is worth thinking about. Let me give you a schema to think about for now and we will revisit it as we move through Ephesians.
I deliberately haven’t connected all the dots. You need to do some work too. Think on these things are we move through the book of Ephesians.
The degree of blessing enjoyed by any man will correspond exactly with the completeness of his submission God.
A. W. Tozer
The Lord will demand everything of you. And when you give it all up to Him, He may bless it and hand it back, but on the other hand He may not.
A. W. Tozer
The only right a Christian has is the right to give up his rights.
Oswald Chambers
God always gives His best to those who leave the choice with Him.
Jim Elliot
I surrendered unto Him all there was of me; everything! Then for the first time I realized what it meant to have real power.
Kathryn Kuhlman
The greatness of a man’s power is the measure of his surrender.
William Booth