You can Abandon to Feature Class or Abandon and Remove to Feature Class, but the results are the same. There is a How-To on this for reference: https://infrastructurecommunity.schneider-electric.com/docs/DOC-3222
ArcFM Abandon to feature class expects the source & destination fields to be the same. So even if the same AT_fieldname field model name is assigned appropriately & the field types match, the results in the destination Abandoned feature class is a field value of null if trying to move attribute value from source field A to destination field B. This is consistent with GlobalID, ObjectID, or other integer or text fields. So there isn't an ootb method for doing what you're looking for.
ArcFM Abandon to feature class is actually deleting the source record and creating a new record in the destination feature class. Consequently values such as ObjectID will not be the same.
Hope this helps.
- Terri Harris, ArcFM Support