The question which the mishna begins with, "From what time do we say the Shema (prayer)?" means "From when is it time for Moshiach to come?". The mishna continues "in the evening", meaning in the 6th millenium (the 6th day of creation is the evening before Shabbos, and each day of creation corresponds to 1,000 years of history).
Comments said: Yaakov Nathan, "Who is "The Ben Yeyada"? What era? And how is it explained what it means to say the Shema when Moshiach is able to come and not before?". Anonymous replied "It's probably the "Ben Yehoyada" which was written by the Ben Ish Hai on Aggadot of Shas."
Here's the relevent section of the shiur, forward 1 minute 30 seconds for the exact section:
Wagner on Mishna - MP3 audio format
Wagner on Mishna - Play it Here page.
And for anyone interested in the whole shiur (lesson), it can be purchased here (click here), for $5.