Hello Mu5il0v3r,
Thanks for using Apple Support Communities! We understand you're having issues with your iPhone constantly showing bnetwork activity; let's look into this more.
The following support article provides some troubleshooting steps to try for this behavior-
The first thing to check is that your iPhone is up to date. As of this writing, the current version of iOS is 14.0.1:
Update your iPhone, iPad, or iPod touch - Apple Support
Next, try restarting your iPhone:
Restart your iPhone - Apple Support
If you still have issues you can eliminate the app but turning off background app refresh one app at a time:
Switch apps on your iPhone, iPad, or iPod touch - Apple Support
Specifically, check out the section labeled "Use Background App Refresh"
Hope this helps.
Best Regards.