If you want to add two flags to show the website in two language then you may find some plugins which will provide you option to add flags to the site.
And much as I would love to help with some custom code, this is beyond the support offered for our products, which consists of bug fixing and theme documentation.
However in pro version you have quick links option to be placed in top of site, on the right, opposite the email contact. By this you can add custom link to both of your site as shown in the below attachment.
So you can achieve this by creating the new menu and add some custom links. And assign this menu to Quick Links Menu from Admin Panel / Appearance / Menus in Manage Location tab.
Further more you can find option to edit text for default Quick Link text in Admin Panel / Appearance / Customize / Theme Options / Header Options
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