What generic ABAP data type should be used to define a subroutine that accepts only internal tables of type standard and type sorted?

The correct choice for defining a subroutine that accepts only internal tables of type standard and type sorted is a generic ABAP data type identified as an index table.

In ABAP, internal tables can be categorized into different types, which include standard tables and sorted tables. A standard table allows for duplicate entries and is indexed by a linear ordering of its entries, while a sorted table also allows duplicates but maintains the entries in sorted order according to a specified key. When a subroutine is defined to accept an index table, it can effectively handle both of these types of internal tables since both standard and sorted tables are implemented with an index-based mechanism that enables direct access to their rows.

The other options do not provide the same level of compatibility. A sorted table is specifically designed for handling sorted entries, and a hashed table is designed for unique entries with rapid access based on keys, making them unsuitable for a subroutine expecting both standard and sorted types. Consequently, the index table serves as a more versatile and appropriate choice for this scenario.