Background
The primary error in the NIV (and other translations) stems from rendering αἰῶνας, which is plural as singular. The best literal translation is Youngs:
in these last days did speak to us in a Son, whom He appointed heir of all things, through whom also He did make the ages (YLT)
ἐπ᾽ ἐσχάτου τῶν ἡμερῶν τούτων ἐλάλησεν ἡμῖν ἐν υἱῷ ὃν ἔθηκεν κληρονόμον πάντων δι᾽ οὗ καὶ ἐποίησεν τοὺς αἰῶνας
However, it is incorrect to say there is no sense of anything described as being created. "Make" is the aorist of ποιέω which is how creation is described:
In the beginning God made the heaven and the earth. (Genesis 1:1)
ἐν ἀρχῇ ἐποίησεν ὁ θεὸς τὸν οὐρανὸν καὶ τὴν γῆν
The work of creation is found even today:
and made us a kingdom, priests to his God and Father, to him be glory and dominion forever and ever. Amen. (Revelation 1:6)
καὶ ἐποίησεν ἡμᾶς βασιλείαν ἱερεῖς τῷ θεῷ καὶ πατρὶ αὐτοῦ αὐτῷ ἡ δόξα καὶ τὸ κράτος εἰς τοὺς αἰῶνας τῶν αἰώνων ἀμήν
History as Salvation
Heilsgeschichte is "an interpretation of history emphasizing God's saving acts and viewing Jesus Christ as central in redemption." God's work of bringing salvation can be divided into different ages. For example, the letter to the Hebrews begins by describing two ages:
Long ago, at many times and in many ways, God spoke to our fathers by the prophets in these last days did speak to us in a Son, whom He appointed heir of all things, through whom also He did make the ages (1:1-2)
After the age of speaking through the prophets, God spoke through His Son, who was crucified and resurrected. Now He speaks through the Spirit (cf. John 16:13). From this opening, and taking the flood into account, five distinct ages which were made through Jesus Christ are described:
1: From Adam to Noah
2: From Noah to the fathers
3: From the fathers spoken to by the prophets
4: The Son speaks in person
5: The Son speaks through the Spirit
Christ is now the heir of all things, including the manner by which history may be described. This simply adds to His role in creation: not only did Jesus create all things, ages or eras may now be defined by when they took place relative to Christ.