Airdrop not working on iPad pro

Ensure that you have updated your iPad and iPhone to the most version - at time of writing, this being iOS/iPadOS 16.4.1(a).

This version includes essential system security updates.

If you have already updates your devices to the recent version, perform a forced-restart os both devices. A restart will often clear an isolated software issue:

Force restart iPad - Apple Support

Force restart iPhone - Apple Support

For AirDrop, also ensure that both WiFi and Bluetooth are enabled on both devices.

If the problem persists after performing the restart, it may be necessary to reset your iPad settings. While this reset will not cause any loss of data, as a precaution, it is always wise to ensure that you have a current iCloud or iTunes backup before performing the reset:

How to back up your iPhone, iPad, and iPod touch - Apple Support

When you are happy to proceed, you can perform the reset from iPad settings:

Settings > General > Transfer or Reset iPad > Reset > Reset All Settings

If the problem still doesn’t clear, you would be best advised to seek assistance directly from Apple Support.

Official Apple Support

Alternatively and perhaps easier, you can initiate and manage your support cases using the excellent Apple Support App. If not already installed on your iPad, the App can be downloaded from the App Store:

https://apps.apple.com/app/apple-support/id1130498044

You’re very welcome.

I’m delighted that the problem was resolved with the minimum of hassle - as the next step in the road to recovery would have required considerably more effort.