Why my phone battery shows services and shutting down

Batteries degrade over time with usage, that's just how they work.

You can expect about a 1% drop per month with average use on an iPhone.

Apple recommends replacing it when it reaches 80%. To check your battery health, go to Settings > Battery > Battery Health.

iPhone Battery Replacement.

iPhone Battery Repair & Replacement - Apple Support

Unfortunately, the only thing you can do is to bring it to an Apple Store or Apple Authorized Service Center.