* lisp/emacs-lisp/syntax.el (syntax-propertize--shift-groups-and-backrefs):
Renamed from syntax-propertize--shift-groups, and also shift
back-references.
(syntax-propertize-rules): Adapt docstring and use renamed function.
* test/lisp/emacs-lisp/syntax-tests.el: New test.
(syntax-propertize--shift-groups-and-backrefs): New ERT test.