Thank you very much for your time on ticket, I know it is not easy task.
Unfortunately, except for the first tab, which doesn't use any of the saved (translated) rows it should, no saved rows can be selected in other tabs in the EN version. So it is not possible to modify the other tabs to make them work.
I have contacted BB PowerPack support who develop the Advanced Tabs module, I got this response from them:
"I tested BB's Tabs module and found it's not displaying any templates in the dropdown. It seems there is an issue between WPML and Beaver Builder in which the user saved templates are not getting fetched. You can see it here - hidden link
Since we are using the same functionality to fetch templates as Beaver Builder uses in its Tabs module, it is best to open a ticket with them to know if they are aware of this issue. If it gets fixed in BB core then it will automatically work in PP's Tabs module too."
1/ I have saved rows in original czech language - hidden link
2/ here are the same rows, translated in EN language hidden link
3/ In my opinion - it is not possible assign any of these saved rows in EN version of Advanced tabs module in EN. In It is not because I used wrong template, it is because the translated rows are not showing in EN version at all. Please try use any of saved rows from list in 2/ in tab 2, tab 3 etc. in EN version.
I contacted BB Powerpack support because I use a BB Powerpack component for this tabs - and I wanted to make sure it is full compatible with WPML and that I hadn't overlooked something. And at the moment, I am still unable to complete the translation
OK - here is comparison, what I can set in CZ version and what is not possible set in EN version. It is inside PowerPack Advanced tabs module:
CZ version - hidden link
EN version - hidden link
Here is video with comparison too - hidden link
In EN version - I cannot set saved rows for Tab 1 - Tab 7 at all - there is nothing choose from. Only one saved row I can see (EN - Rezervace - Tab 1 - Livingstone) - is old unused template from past.