Hi Godavari
From the above i have understood that you have a house bank and under the house bank you have different bank accounts and each bank account is having EBS and assigned with transaction types. But you were able to see different external transaction types for each bank.
For new bank account try to get the external transaction types from bank if possible and check if any of the external transaction types that we got from the bank are already created, if so copy those to the new transaction types and new external transaction types need to be created.
Generally All bank accounts under house bank mostly will have similar external transaction types. But it is a bit strange that in your case they are different
Hope this will help
Thanks
Prasad