Hi,
It due to the configuration of template style on your site. You should configure it in the same way you created for Menus, you will have a default template style for your site, then you can create a default template style for each language.
For example, the template style ‘ja_sugite – Features Intro’ is assigned to homepage of French but it’s using Main menu of English. So I just duplicated this template style, set to retrieve Main menu FR: http://prntscr.com/i0ioo0 and assign to menu item of French. ( just assign to Homepage for sample only, you can assign to other menu items as you desired)
And it’s showing correctly now.
Regards