Stefano, thank you for update.
I wrote about incorrect .htaccess in previous topic also. The problem is if WordPress installed in subdir (not in the root, but accessible from the root) .htaccess will be wrong:
RewriteCond /.../jyoti.ru/SUBDIR/wp-content/cache/lite-cache%{REQUEST_URI}/index.html -f
RewriteRule ^(.*) wp-content/cache/lite-cache/$1/index.html [L]
last line should be
RewriteRule ^(.*) /SUBDIR/wp-content/cache/lite-cache/$1/index.html [L]