Hi,
There is no way to do that easily.
It would basically require reloading the product data and it's translations manually since Falang doesn't work in the backend of the website.
Note that with HikaShop 4.2.2, you can now translate your products name with simple Joomla translation overrides (you enter the translation key instead of the product name in each product and then fill the translation override file of each language with these translation keys.
That way, it will work even in the backend.