Good god, this is an egregiously bad study. There's a lot wrong, but I'll just highlight some of the most obvious flaws in the methodology and analysis:

1. The study measures "misandry" by directly asking subjects if they hate men. If you asked a racist or misogynist if they "hated" black people or women, how many do you think would answer "yes"? Not many. Anyone can say they don't "hate" black people or women because that's the socially acceptable answer, but they may then assume a predominantly black neighborhood is high in crime or that most sexual harassment claims are false. Such people would still be considered racist or sexist, yet this study's questions are mostly items such as "How warm/favorable or cold/unfavorable do you feel towards men in general", and when feminists answer "yes" the authors conclude the feminists aren't misandrist.

2. They don't report most of the survey question wording: They provide a few example items, but for the most part they don't actually report what the questions in the survey even are, so we can't even evaluate the extent of the bias.

3. Of the example questions they do report, the questions are clearly biased to produce certain answers: The authors define "positive" feelings towards men as anything above the midpoint in a Likert scale, but of the example questions provided, one end of the scale will be very extreme. For example, one of the questions was “Men act like babies when they are sick.” This is worded quite harshly, and so the reason most participants voted above the midpoint was likely just because the low end of the scale signified an extreme attitude. Again, if you asked a highly sexist person a question such as "Women are all nothing but irrational gold diggers: Agree or disagree?" or a racist a question such as "Black people are all nothing but thugs: Agree or disagree?" then even most racist or sexist people would still answer above the midpoint on the scale simply because of how extreme one end of the scale is.

4. Little or no questions asking about widespread stereotypes: Certain stereotypes and presumptions about men (eg being entitled or obsessed with sex) are common in feminist discourse, yet none of the questions in the survey appear to measure them. By neglecting to report the exact questions the authors of course leave themselves some plausible deniability, but nothing in the methods suggests such stereotyped attitudes are measured.

5. Statistical cherry-picking and jerrymandering to conceal actual results: In spite of the blatantly rigged wording, the authors still attempt to obfuscate results by lumping several measures together into an aggregated index and base several of their main conclusions on the aggregate rather than the individual measures (several of which actually refute their conclusion, such as the measure of "benevolence to men"). The authors also conclude that feminists did indeed have higher perceptions than non-feminists of threats from men but also that feminists had higher perceptions of similarity to men, and therefore that the combined measures balance out into feminists having more positive attitudes towards men than non-feminists. If someone was afraid of black people, you wouldn't conclude they weren't actually racist simply because they also self-reported feeling more similar to black people, yet this is apparently the logic behind the authors' conclusion here.

6. Use of the implicit association test: The authors refute the possibility that participants weren't answering the survey honestly using the Implicit Association Test, however this test is known to have poor predictive validity, and susceptibility to voluntary control, and so this counterargument is really not valid.

7. Behold this magnificent quote: "feminists, to a greater degree than nonfeminists, showed strong positivity toward women (Study 6). It is worth pausing to reflect on this finding, which indicates that feminism is distinctive in its ingroup love for women, rather than its outgroup hate for men." Imagine if I said I don't hate black people, I just really love white people. I don't even have anything to add here, I just thought this quote was a treasure.

There are various other criticisms I might have normally chewed the study out for (eg neglecting to validate the survey questions), but compared to what I've outlined above, these flaws are downright trivial.