Before interpreting those difficult passages, as a principle of the interpretation should be taken more simple passages that clearly assert the Godhead of Jesus Christ, who claims that even before the universe was created, that is to say, in eternity (because time came together with the created world and could not exist before that) He and the Father enjoyed the same Glory (John 17:5), and thus to Both befit the very same worship (John 5:23), and in fact the universe was created by Both Father and the Son (John 1:3) which makes it absolutely impossible to attach the Son to the created order, for He is co-eternal Son of the Father and co-Creator of the universe with the Father.
Having established this, we can safely proceed to cracking the question of Jesus receiving authority. In a theological sense, taking the eternal perspective, Logos born from the Father indeed receives everything from the Father as from His Principle and Source, and this "happens" in eternity, without any process or growth, and thus, even though the Logos born from the Father receives the divine nature from the Father, the Receiver is equal to the Giver, as this giving is in the very property of the Giver, for the Father eternally begets the Son, eternally and entirely giving to the Latter His (the Father's) divine Nature. Thus with regard of this divine nature the Father and the Son are absolutely identical, but they absolutely differ and not mingle by their Hypostases/Persons, for Father is the only Source. Thus, Logos is "given authority" eternally from the Father together with the entirety of divine nature.
But here in Paul, the authority received clearly addresses the death and the resurrection of Jesus. This authority Jesus received by the very act of the voluntary death on the Cross, for could He save humanity from sin without this? Was there any other way? For instance, Him asking Father to send Him, or even without asking Father to command twelve legions of angels (for He had the same authority over angels as the Father) to come down and destroy those who were going to sadistically kill Him (Matthew 26:53), but then the will of the Father would not be fulfilled, that is to say, humanity would not be saved. Why? Because the notion of salvation implies that humans are not following God because they are terrorised by God's omnipotence and His irresistible might to punish malefactors, but out of free repentance and free loving response of their hearts. Without this freedom there is no salvation, for we are to be sons, co-heirs and co-Kings of Christ in His Kingdom, not slaves. Thus Christ's voluntary submission of Himself to His murderers was necessary for salvation of mankind, including those murderers.
Now, if the salvation and redemption of humanity could be conducted only and exclusively through Christ's sacrifice on Cross, then even Father could be totally impotent to save humanity without this sacrifice of His Son, which sacrifice was the Father's will. But if both the Father and the Son were impotent to save humanity without the Son's, Jesus Christ's sacrifice on Cross, then it means that something eluded Their authority before this act and sin still reigned over humans. And therefore not only the Son received this authority over sin and death after His sacrifice on Cross, but also the Father received this authority, for without it the Father was as impotent as the Son to redeem humanity from the sin and death.
However, although the above said is correct, still there remains an inexactitude, because, in this passage of Paul, the Giver (Father) and the Receiver (Son) are clearly distinguished and this act is related to the salvific Crucifixion, Death and Resurrection of the Lord Jesus Christ.
Now, in which sense is Jesus a receiver of all authority after the Crucifixion and Resurrection? The answer of the Church Fathers, and I think the only correct one, is that Jesus' human nature received this authority, but since this human nature after its adoption belongs inseparably to His divine eternal Person of the Son/Logos, we can say that He received this authority, as we can say that He died, while of course it is beyond sacrilegious and silly to say that Father's eternal Son and Logos ceased to be. But the eternal Logos, not Father and neither Holy Ghost, suffered historically that, which He had not suffered and could not suffer in eternity, because after the Incarnation, He also humanly suffered upon Himself the consequences of human nature's falledness: envy, cowardice, lies, ingratitude, treason, hatred, misunderstanding, stupidity, cruelty. But He did not identify the fallen with the falledness, and sinners with the sin, but in His human nature showed the perfect conduct of this nature: courage, truthfulness, humility, love, empathy, patience and forgiveness.
Since this human nature uniquely belonged to the divine uncreated Person of Logos, it means that, unlike us, who are created persons, this nature could not but act like that, totally being subjected to the Logos' divine will, but this inavoidability must have been revealed and undergone in a concrete temporal process, in the concrete and real historical life and drama of Jesus Christ. And thus, since Jesus' human nature's perfection was reached through His Crucifixion, He received the divine authority over all creation according to humanity also. Therefore, receiving that, which He had not before.
But, again, how He received it, this authority according to His humanity? Father gave it to His human nature, or Father and Himself together? Of course the second is true, for Father and the Son act always together in Their divine action, and thus, just like Jesus' human body was resurrected by Father and the Logos, so also Jesus' human nature was given divine authority over all creatures similarly by Father and the Son/Logos.
I am not prepared to fully address this mystery now, but one thing is clear that through Himself, by leading His human nature to its perfect action of unconditional self-sacrificial love for humanity, He gave an example to all humans of all ages, as to how to live and act; yet, not an example which humans can emulate without participation in Him, but He became the living and participable example, to the effect that through Him, and only through Him, we can participate in perfection of human nature and lead our natures to this perfection. Thus, Jesus heralded the New Era of humanity: after His Crucifixion and Resurrection no man can aspire at becoming a perfect human being, without Jesus Christ actually entering in his life and working in him, leading him to this perfection, with his free co-action.
Thus, the created human nature in Jesus received this authority over all creation through His dying for the humankind on Cross, which means that in Him and through Him we also can deify our human nature and we also receive the same authority, yet not unavoidably as befits His divine Hypostasis/Person, but by free acceptance of His grace on the part of our created hypostases/persons, because His commandments that account for our perfection we can fulfil but through Him (John 15:5).