I have also found the note that through customization we can acheive this as below note.
Is it Possible to Limit or Exclude Some Values for Expenditure Type or Expenditure Org in iProcurement Project Related Fields? (Doc ID 1583477.1)
Hi Mohammad Younus,
I think you can create one custom table with 2 columns : responsibility_id & organization_id.
On the base of this table, you can do the personalization and restrict the responsibility to one or multiple organizations.