[tome]

I can't help wondering if everyone who has replied to you has mixed up cause and effect. My explanation would be:

"To turn left you need to lean to the left. Leaning to the left momentarily forces the handlebars to turn the right."

This describes an equivalent outcome to the quotation from the article but implication about what is cause and what is effect is quite different.

[randlet]

It's very easy to verify for yourself that the cause & effect goes "push right handlebar (or equivalently, pull left handlebar) to initiate a right hand turn/lean".

The countersteering argument has been repeated literally 100's of times on the internet on motorcycle forums. It's not worth debating as it is absolutely a real phenomena. It's counterintuitive yes, but there is no doubt that it is real.