Not much of an iOS developer here, but we are unable to build using Flash Builder.
The message clearly points out to a 3rd party library dependency called com.distriqt.PushNotifications, but we are not sure how to investigate the problem, or what to ask from the 3rd party vendor.
Error: libPushNotifications.a are required to have universal iOS libraries. Please contact the ANE developer(s) to get the same.
We don't know what "universal iOS libraries" actually mean, and we think that the error started after Xcode upate from 5 to 7.
We are looking forward for any checklist or examination that could help us fix this problem and generate package the application.
You might have an old version of the ANE.
http://airnativeextensions.com/extension/com.distriqt.PushNotifications
or contact the developers at airnativeextensions@distriqt.com