All 3rd party apps on your iPhone and iPad should be in your iTunes library on your computer, and would be if you have Sync Apps selected under the Apps tab for your iPhone and iPad sync preferences with iTunes which should have been selected from the start.
With Sync Apps selected under the Apps tab for your iPhone and iPad sync preferences with iTunes, after downloading an app with either device, the app will be copied to your iTunes library automatically the first time you sync the device with iTunes after doing so. This also allows for downloading an app once with iTunes on your computer and installing the app on each device that is synced with your iTunes library by selecting the app under the Apps tab followed by a sync. This also provides for removing an app from a device without deleting the app and having to re-download the app by deselecting the app under the Apps tab for the device's sync preferences with iTunes followed by a sync. To re-install the app on the device again later, reselect the app under the Apps tab for the device followed by a sync.
With your iPhone connected to iTunes, at the iTunes menu bar go to File and select Transfer Purchases From - the name of your iPhone. After confirming all 3rd party apps currently installed on your iPhone were copied to your iTunes library, select Sync Apps under the Apps tab for your iPhone sync preferences with iTunes making sure all apps currently installed on your iPhone are selected below followed by a sync.
Repeat the same with your iPad in case there are some 3rd party apps installed on your iPad that are not installed on your iPhone.
Assuming your wife's iPhone is synced with the same iTunes library, repeat the same with your wife's iPhone.
The VLC Media App will now be in your iTunes library on your computer. Select the app under the Apps tab for your wife's iPhone sync preferences with iTunes followed by a sync to install the app on your wife's iPhone.
http://techchunks.com/technology/copyright-licensing-battle-apple-removes-vlc-fo r-ios-from-app-store/
Apple has finally removed VLC for iOS from the AppStore after complaints from VLC developers and Free Software Foundation. The situation involves a conflict between the General Public License, which governs VLC and many other open-source programs, and App Store policies.