It sounds for me that you didn't set the privacy of posts posted by your application inside of Facebook.
See if "Only me" appears for your application posts (like in the following image).
Then, verify the "sandbox" mode of your application.
If it's set ON, set it OFF.
What is Sandbox Mode?
When testing your apps, place them into Sandbox Mode. This hides your app entirely from all users who you have not authorized in the App Dashboard to see the app, for the roles described below. Please note that when your app is in Sandbox Mode, you cannot call any API calls on behalf of users who cannot see your app.