Recovering deleted call logs and texts

Deleted texts are saved on the latest iPhone backup that was created when the texts existed. Restore the backup to retrieve the texts (and other data).

Restore your iPhone, iPad, or iPod touch from a backup - Apple Support

I'm not sure the call log is saved on that backup, but you can almost certainly get that on your cellular carrier's website.

Recent calls were deleted on their own and the mobile phone was unlocked and opend and the incoming calls were not recorded and the last update was downloaded and the same problem exists

makariousramzy wrote:

Recent calls were deleted on their own...

Your screen shot displays missed recent calls.