Non-feminism is a broad movement that rejects feminism. Non-feminists do not support feminism but they do not necessarily actively oppose it. Non-feminist individuals that actively oppose feminism are normally called anti-feminists.
Like anti-feminists, non-feminists come from many different standpoints but can be broadly divided into two categories. Traditional gynocentrists who seek a return to a gynocentric past in which men lived a life of service to women and others such as MRAs who seek a future that is different to both the gynocentric past and society that feminism has forced on the world.
Anti-feminism contrasts with the broader movement of non-feminism. All anti-feminists are non-feminists but only some non-feminists are anti-feminists.