How to make cyrillic working with TeX Gyre fonts?

Question

I want to write a document in Russian language using XeLaTeX and TeX Gyre font (for example TEX Gyre Termes). According to docs here http://mirrors.ctan.org/fonts/tex-gyre/doc/qtm-info.pdf (pp. 3-4) it supports cyrillic letters, but I cannot make it working. What i've tried:

\documentclass{article}
\usepackage[main=russian, english]{babel}
\usepackage{fontspec}
\setmainfont{TeX Gyre Termes}

\begin{document}
    Hello world!
    А это по-русски.
\end{document}

and

\documentclass{article}
\usepackage{polyglossia}
\setdefaultlanguage{russian}
\usepackage{fontspec}
\setmainfont{TeX Gyre Termes}

\begin{document}
    Hello world!
    А это по-русски.
\end{document}

(if i understand correctly, it is preffered to use babel instead of polyglossia)

But nothing is working. This is what I'm getting in output PDF:

What I'm doing wrong?

Answer 1

Despite claiming that the cyrl language tag and the Cyrillic block 0x0400–0x04FF are supported, in the list of glyphs there's a jump from 0x03F5 to 0x0E3F.

I'm not sure whether the developers started thinking to add Cyrillic, but they actually didn't.

You can use Tempora that comes with the main TeX distributions.

\documentclass{article}
\usepackage[main=russian, english]{babel}
\usepackage{fontspec}

\setmainfont{Tempora}[
  Extension=.otf,
  UprightFont=*-Regular,
  ItalicFont=*-Italic,
  BoldFont=*-Bold,
  BoldItalicFont=*-BoldItalic,
]

\begin{document}

Hello world!

А это по-русски.

\end{document}

Alternatively, use Stix Two, but the glyphs are slightly different from “standard” Times.

\documentclass{article}
\usepackage[main=russian, english]{babel}
\usepackage{fontspec}

\setmainfont{STIXTwoText}[
  Extension=.otf,
  UprightFont=*-Regular,
  ItalicFont=*-Italic,
  BoldFont=*-Bold,
  BoldItalicFont=*-BoldItalic,
]

\begin{document}

Hello world!

А это по-русски.

\end{document}

Answer 2

You need a font with cyrillic, eg Times New Roman windows font

\documentclass{article}
\usepackage[main=russian, english]{babel}
\usepackage{fontspec}
\setmainfont{Times New Roman}

\begin{document}
    Hello world!
    А это по-русски.
\end{document}