Periodic table: https://ncert.nic.in/textbook.php?kech1=3-6
Evolution: https://ncert.nic.in/textbook.php?lebo1=6-13
http://www.indiatodayne.in/national/story/ncert-syllabus-row...
TLDR: Nature and most other western publications failed to do basic fact check, neither periodic table or evolution are 'cut' from textbooks. They're just moved to a different grade.
India has been handicapped by a highly insufficient educational system set up by the British (and later run by its puppets) for a very long time, that was meant to produce robots/slaves/peons, not independent thinkers.
They are finally having discussions about how to redesign the education system, to empower its people to become future leaders, innovators. Given that India has a very young population, if they do this redesign right, it will pay off handsomely in the future.
Of course, there are many parties who do not want to see that happen. So what do they do? They disrupt the public discourse taking place around this in the country by spreading disinformation via publications such as nature.com, that get scientists in India riled up against the education related gov't bodies, instead of collaboratively working with them.
For a good overview of how idealogical subversion of this kind is carried out I would recommend watching interviews of Yuri Bezmenov on youtube.