@Ulises
There are multiple ways in which a parcel can be associated to the record that created or retired it. An editor can even make the association manually.
The record parcel count only updates on certain operations, like Build Active or Build Extent for example. When the counts are updated, like any other edit operation, you will need to save the edits.
Also note that the counts span between all the parcel types. For example: if you have one record that created 1 subdivision, 10 lots and 9 tax parcels, the count will be 20.
If you see wrong counts, and you think this might be a bug, please contact technical support and we will look into it if it turns out to be a bug.