You need any way create all content in both languages.
And will need connect these items to different categories, and create menu for every categories.
Also, In the search pro module I can choose the categorie but it shows all, in english and in french, how can I just show the categories in the language that I want?
For now in ours component - you can't set what categories show for what languages
With that I see only so ways: need use some component like FaLang - for it will need create some module, and that will very bad for site speed if you will have many items.
Or you may ask custom version from ordasoft, that will ask money, but with that you will help to all other users have multi languages component support