That sounds incredibly frustrating, especially on a new phone. The graphical corruption (the shadows and blue screen) strongly suggests the issue is a compatibility problem between the eBay app and your phone's GPU or graphics drivers, not a defect with your handset itself.

Since a simple reinstall hasn't worked, here are a few more specific steps you could try:

1. Clear Cache & Data (before reinstalling): Don't just uninstall. Go to your phone's Settings > Apps > eBay > Storage & Cache. Tap "Clear Storage" (or "Clear Data") and "Clear Cache." Then uninstall and restart your phone. This wipes all the app's temporary files for a truly fresh install.

2. Check for a System Update: Sometimes the fix needs to come from the phone manufacturer. Go to Settings > System > System updates to see if Motorola has released a software update that includes updated graphics drivers.

3. Report the Exact Model: When you use the "Shake to report" feature, it's helpful if you can include your phone's exact software build number. You can find this in Settings > About phone > Software information. This gives eBay's developers the specific data they need to identify and fix the bug.

It's likely not that your phone isn't compatible, but that a recent update to the app introduced a bug that affects some devices with your specific chipset or Android version. Using the mobile site (www.ebay.com in your browser) is a very good workaround until they release a fix.