I have found that when reading Nostradamus one starts to see whatever current events are happening seemingly represented in whatever quatrains are being read!
I think that what happens is that in seeking to understand what Nostradamus may have intended, one unwittingly tunes in to his present awareness and consciousness, and then he communicates thoughts through the words written, even if, back in the day, the quatrain wasn't written about what is presently taking place in the world, but someone else,
so a quatrain originally written about - say - Louis the XIV - can be seen as also fitting Mick Jagger, for instance.
And beyond that....
How could Nostradamus NOT have written about The Beatles, when you think about it?
Personally I find myself relying heavily on the work and interpretations of Dolores Cannon with her Conversations with Nostradamus Vol-1-3 books. However, I admit...it is possible Nostradamus saw The Beatles.