If I'm understanding right, that by default traffic from APP will be categorized as 'Typed/Bookmarked' in Referrer Type Report,
So is there any setting to get the right referral data from 'APP' ?
Add campaign tracking codes to the links in your app.
E.g. if you use the "cid" parameter for your campaign tracking code in AA, then in your app's link, e.g.
Add the "cid" parameter with an appropriate tracking code, e.g.
In your website's AA, you can run a report with Tracking Code and find all instances of that "cid" parameter's value. The number will be the number of "taps" from your app to your website.
Consider tagging the links to identify the app traffic.