Personally I use Lightroom for this because of the UI and ease of use. Exiftool will get the job done but it has a much steeper learning curve and is less forgiving.
With Lightroom I start with the Library tab and usually will create a Metadata preset before importing which has all of the basic Metadata info I would like to change or apply. Once I import ...
You want to identify exactly what is the time shift of one of your source (you may ask directly to the owner of the culprit device or trace it with what you think should be the correct timeline for this device).
Batch edit the metadata time of creation with one of those, for instance (on Windows 10/11) :
Picture Metadata Workplace
Bulk Photo ...