The sentence in question is: " I will talk to you later in the evening, if I WOKE up." I believe that it should be "if I wake up", but the speaker said that this falls under an exception.
This sentence does not sound fluent. Most likely is a simple non-past condition, indicating that this future event is possible:
I will talk to you later, if I wake up.
(I will sleep; I may wake up; If so, then I will talk to you)
To speak of a future that will not happen
I would talk to you if I woke up
(I won't talk to you because I will not wake up.)
or a hypothesis, speaking of an event in the past that didn't happen
I would have talked to you, if I'd woken up.
(I didn't wake up, so I didn't talk to you)
These are sometimes called type 1, 2 and 3 conditionals.