@LinaJ2020 : Thank you very much. I have tried that and it worked! It took me a while to figure out why UI does not want to generate that, but i found that i need to provide a 'dummy' country in order to make it work. I provided a country that the income originally came from years ago. That let TT generate 1116 with a single column/country (the one i provided) and no value populated in lines 1a-6. BTW I noticed that company that did my tax returns for last couple of years filed 1116 in the same way (they put two columns representing countries which the income came from years earlier, but they have not populated any of 1a-6 lines).
Also - the line 10 (and same value for line 11 and 14) with the CORRECT carryover amount is now populated and TT put there a reference to a statement which also is generated correctly (with correct 'carryover to 2020' amount). Line 35 is 0 - so that does not affect my tax position I believe.
Oh, one more thing - maybe others will find it useful.
In order to all of that I had to answer NO to the "Do all of the following apply to your foreign income and expenses?" question (in my original comment above I tried answering YES, and that did not make it).
