Taxonomy in multilingual site
You must activate the module Taxonomy translation (i18n_taxonomy) then go to admin/structure/taxonomy/YOUR_TAXONOMY_NAME/edit and select: 


Translate. Different terms will be allowed for each language and they can be translated. 


Add a term and select the language and click the button Save and translate in the next page click the link add translation and create the translation.

Then create a node with this term that you hace create and you will have this functionality in your site.