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A quick Google search on this law and it looks like most of the stories I can find that are critical of this law are coming from Russian controlled areas much like this article.
President Volodymyr Zelensky on Dec. 29 signed into law a controversial bill on the media.
The Ukrainian authorities argued that the law aims to bring Ukrainian legislation in line with EU law and fight Russian propaganda. 
Media reform is one of the EU's conditions for starting negotiations on Ukraine's accession to the bloc. The EU wanted Ukraine to adopt legislation to fight the influence of vested interests on the media.