I'm trying different (free) readers, downloaded to my computer. Started with the Apple iBooks reader, which gave me the image with the bad secondary leading. Just downloaded Calibre. The secondary leading is what I have in InDesign but the green bars are running narrower than the text. I guess I'm just going to have to play some more. Still, anyone who can point me to so good how-to's, some specific info, I'd be appreciative.
For us to help you more, you need to tell us what version of InDesign you're using. InDesign has made significant improvements in EPUB export with every version from InDesign CS 5.5 onward to the current InDesign CC 2014.
The best source of information on preparing files in InDesign are the videos by Anne-Marie Concepcion on Lynda.com. She has videos from CS5 onward. You can get a free week's subscription to Lynda.com.
The best book on eBook typography I have seen is called eBook Typography, by Chris Jennings on the Apple Store.
Thanks for the reply. I figured out, after downloading several eBook readers, that my epub file (created in InDesign CC2014) maintained its secondary leading in all readers except iBook reader. I will definitely take that free week's subscription to Lynda.com and will check out the Chris Jennings book as well.
I'm still working on getting those green bars to stay the same width as the indented text they go with. Too bad Text Rules don't transfer to eBooks. I'll beat it. :-)