What does the phrase "never the mane shall tweet" mean?

It has long been known that birds will occasionally build nests in the manes of horses. The only known solution to this problem is to sprinkle baker's yeast in the mane, for, as we all know, yeast is yeast and nest is nest, and never the mane shall tweet.

What is the meaning of the above quote? I am confused by the phrases manes of horses and never the mane shall tweet. An online dictionary says that manes is the plural form, but its singular form, mane, has an entirely different meaning.

Solution 1:

This is joke. It is an example of a spoonerism in which the beginnings of words have been changed or swapped. The normal English saying:

East is East and West is West and never the twain shall meet.

has been humorously rearranged to be the punchline of a joke.