listentwice - you are correct that the transliteration based on the back translation does not show up in the S/R to Internet list. If this is a valid scenario (and not something you are just testing the transliteration with) please use the Help > Report a problem to submit this to the developers.
The transliteration based on the standard transliteration should S/R correctly, but it may be that basing off the back translation puts it one level too far away from the registered project.