The US has the Foreign Agents Registration Act, which is actually stricter. The "Russian law" shit is just framing. Countries have a right to know who's meddling in their shit, in fact meddling is illegal under international law. The fact that they feel this threatened by a mere transparency law speaks volumes.

How would you like it if some politicans from other countries (let's pretend it's Russia since you seem very concerned about them) came to your capital and threatened "severe consequences" for even daring to want to monitor foreign influence. These protestors are basically demanding to surrender all sovereignty to EU/US/billionaire funded NGOs.

Imagine living in country where core government functions, like writing laws, regulation, and social services are provided by NGOs which are beholden to foreign donors. No oversight by any local authority and definitely not beholden to the people. This is about as far from democracy as you can get, this will ruin a place.