I want to use this code in a package:

Declare
    TYPE mc01TableTYPE IS TABLE OF Varchar2(4);
    v_MC01Table     mc01TableTYPE := mc01TableTYPE();
    v_ResTable      mc01TableTYPE := mc01TableTYPE();
    TYPE string_list IS TABLE OF VARCHAR2(100);
    Var_All         string_list := string_list('var1', 'var2');
BEGIN
-- Fill the collecteion for the attempt
    v_MC01Table.Delete;
    Select MC01
    Bulk Collect Into v_MC01Table
    From YW_VGEW_EV
    Where PDATE=SysDate
    Order by MC01;

--  This makes the errors
    Select MC01
    Bulk Collect Into v_ResTable
    From YW_VGEW_EV
    Where PDATE Between Sysdate-1 And SysDate
    And MC01 MEMBER OF Var_All;
    --And MC01 IN (SELECT MC01 FROM TABLE(Var_All));

-- For watch the result
    For i in 1..v_ResTable.Count
    Loop
        Dbms_Output.Put_Line('v_ResTable('||i||'): '||v_ResTable(i));
    End Loop;
End;

The MEMBER OF command gives these errors:
PLS-00642: local collection types not allowed
PL/SQL: ORA-00932: inconsistent datatypes: expected UDT got CHAR

If I change the MEMBER OF line to this.

And MC01 IN (SELECT MC01 FROM TABLE(Var_All));

then I get these errors:
PLS-00642: local collection types not allowed
PL/SQL: ORA-22905: cannot access rows from a non-nested table item

I have a working solution with the LIKE operator, but I want to know how to use the nested table in this case.