How to update ListView in case of CursorAdapter usage?

requery() updates a Cursor, not a CursorAdapter. As you say, it has been deprecated, and its replacement is:

oldCursor = myCursorAdapter.swapCursor(newCursor); // hands you back oldCursor

or:

myCursorAdapter.changeCursor(newCursor); // automatically closes old Cursor

myCursorAdapter.notifyDataSetChanged() notifies the ListView that the data set has changed, and it should refresh itself