The way the app is set up now, you have to choose between having Scroll View turned on or off. If it's on, you can scroll through the text but you can't tap on the margins to turn a full page. If it's off, you can tap to change full pages but you can't scroll through the text.
Is there a reason it "has" to be this way in the Logos mobile app? With most apps, you have both options available at the same time and I find not having both to be fairly frustrating on the Logos Mobile app. I.e. much of the time when reading, I just want to advance an entire screen/page. But when highlighting text, the text to be highlighted is often split across two screens and the only way I know to do that with a single highlight is to go to settings and turn Scroll View on, then turn it off again for reading.