problems witht bluetooth pairing iphone and macbook pro

Bluetooth pairing an iPhone and a Mac is not supported. 

If you are attempting to use Handoff/Continuity or AirDrop, that does involve Bluetooth but the devices are NOT paired; Bluetooth just needs to be on and the devices in range of each other. The following may help with Handoff/Continuity issues: Use Continuity to connect your Mac, iPhone, iPad, and Apple Watch - Apple Support

Also see Share files between your Mac and Bluetooth devices - Apple Support

And see the information in: Bluetooth: Why can't I pair my iPhone or … - Apple Community

adweiss1 wrote:

cannot pair iphone with macbook pro

Shut down and restart both devices.

The current stable release of Ventura including bug fixes, security updates is macOS Ventura 13.5

Keep your Mac up to date - Apple Support

The current stable release of iOS including bug fixes, security updates is iOS 16.6

Update your iPhone or iPad - Apple Support

ref: If you can't connect a Bluetooth accessory to your iPhone or iPad - Apple Support

Finder>Settings>Sidebar>Locations>iOS Devices if you are trying to see it in Finder

Use the Finder to sync your iPhone, iPad, or iPod touch with Mac...

Locate and view your iPhone or iPad on your computer

If your device doesn't appear in the sidebar when ...

Use the Finder to share files between your Mac and ...

Use Continuity to connect your Mac, iPhone, iPad, and Apple Watch - Apple Support