Tweet button not count tweets, even when I use the button generator


On our website all of the tweet buttons shows absolutely zero, however, there are tweets with those URLs.
I’ve tried every suggested solution I found, but none of them helped.

I tried to generate a tweet button for those with twitter’s own generator, and clicked on that generated button and createed a tweet. It still shows zero. My tweets are public, and the widget is still shows zero after several hours and days. Moreover, there are other public tweets with those URLs which can be found by twitter’s own search engine.

For example, take this URL:
or this:
or this:

I’ve absoulutely no idea what’s wrong with this thing.