ArcGIS Pro include geoprocessing in all metadata types

[Jan_Tjallingvan_der_Wal]

I would like to have ArcGIS Pro store the geoprocessing history with the feature class that it pertains to, so that you automatically have a record of those operations that stays with the feature class.

Something like this is available for FGDC medata, but in many locales that is not the standard. 

And people have a more relevant metadata configured, and there is no quick way to (temporarily switch to FDBC). 

[AletaVienneau]

Whether or not the geoprocessing history is recorded in an item's metadata (for feature classes, raster datasets, etc.) is controlled by a setting in the Options dialog box on the Geoprocessing tab as illustrated below. When the Write geoprocessing operations to dataset metadata option is checked, operations that modify a dataset are recorded in the dataset's metadata.

This geoprocessing history is visible in the item's metadata in the Catalog view when you use every metadata style except the default Item Description metadata style.

It is available not just for FGDC CSDGM Metadata, but also for all ISO-based metadata styles that support creating metadata compliant with ISO 19139, ISO 19115-3, INSPIRE, and the North American Profile. In the metadata display, you can find the geoprocessing history underneath any manually-defined lineage for the dataset, as illustrated above. There is no need to switch back and forth between the FGDC CSDGM Metadata style and another metadata style to see this information. When you choose a different metadata style, the metadata display in the Catalog view immediately updates to show you all metadata content.

The default Item Description metadata style is deliberately very small. It intentionally shows only the same content that you see on the item details page in a browser when you are exploring content in ArcGIS Online and ArcGIS Enterprise. Many organizations find that this level of content is sufficient for their needs, and they do not have requirements to view or author more content. The purpose of the Item Description metadata style is discussed in the Pro help topic View and edit metadata.