* Paleogene (66-23 million years ago)
* Neogene (23-2.6 million years ago)
There's no concept of "epochs" within these periods; instead, they're further divided into epochs. Therefore, there's no "last epic" within the Tertiary Period.
If you're interested in specific events within the Paleogene or Neogene, you can look up the epochs within those periods.
For example, the Pliocene epoch, the last epoch of the Neogene period, is considered the most recent epoch within what was once called the Tertiary Period.