The claim that most of the Ukrainian refugees are fleeing to Russia because NATO is the actual aggressor is incorrect and the original post has no evidence other than a map to prove it.
I was able to find a primary source in the form of a video recording from the German Chancellor talking about his support for Ukraine and his condemnation of Russia, connecting to their acceptance of Ukrainian refugees through their support of Ukraine.
I was able to find a number of secondary sources. For instance, I was able to find an article where many German politicians asked that young Ukrainian men should stay in Ukraine and not come to Germany in order to support their own country. I also found websites that are trying to track where the Ukrainian refugees are going to and this one claims that they top two countries they go to are Poland and Romania. Another website that tracks them shows that the majority of refugees are in Germany, Poland, the Czech Republic, the United Kingdom and the United States. A third website continues to confirm these findings by showing at the top three countries that have Ukranian refugees are Germany, Poland, and the Czech Republic. Although these sites all have slightly different numbers with a shift in the top countries with refugees one thing stays the same through them all: none of the countries are Russia. I also found an article that talked about the programs that Poland has in order to support the refugees and help them to work through the trauma of living through a war.
Some of the potential biases that the articles I found may have are that they are from western sources and would typically be against Russia. A bias that one of my websites may have is its religious affiliation and that it along with the others are also wester sources.
There is little evidence that supports the claim that I am fact checking. In this article, it talks about how Russia is inflating its number of refugees in order to create more support for its war and that satilight information shows that there is significantly less border crossage than Russian claims. The other articles and websites that I have linked throughout this answer also undermine this claim.
I was unable to contact the person who made the original claim.
