Facebook Like count does not increase and had strange behavior.

Romaric,
I see the social sharing buttons at the bottom of that page. However, I'm not sure what you're expecting. Can you tell me the Like count or sharing stats or any other information about what you think should be there vs what is actually shown?

Once thing I do notice is that your site is accessible over both www and non-www. We'd recommend setting up a redirect from one version of your site to the other. Otherwise, your Like count will be different tracked differently for each of those domains and will split your Like count for your content.

Thanks,
Alex

I fact U really expect many more like count and share. Is to low. Is strange. Can you have a look please?

The like count is per URL. That page just looks like it hasn't had a lot of Like's yet. Your other content may have many more Likes. There isn't a way to show the total number of Like's that all pages of your site have received though.

And what is this number:
Canonical URL www.franceszero.com.br/ (15859 likes, 2497 shares)
Is a lot of like and share and I never put a like link on my home page. Can you understand?

That Like count is coming from your Facebook Page which does have a large Like count (nice job!):
www.facebook.com/pages/Franc%C3%AAsZero/206366906065556

I hope that helps explain,
Alex