I'm going to use human terms, because talking about multi-species offspring is messing with my pronouns.
They took a multi-generational history of a collection of mammals. Then they look at how many 2nd generation children are produced when 1st generation tended to be mixed in gender, vs. predominantly males. From this data, they determined that on average, the when the 1st generation of children tended to be male, they had 2.7 times (on average) as many 2nd generation children than if they had been in a mixed-gender 1st generation.
From my perspective, it seems as though the study looked at all of the outliers in the population, then used an unsubstantiated hypothesis from 30 years ago to fit the outlier data, despite the fact that if you look at the general population as a whole, those outliers are expected in the sample, and might be explainable when you look at herd/group behaviors. There are potentially many factors that can lead to more children in the 2nd generation for male-dominated 1st generation, of which I listed 4 possible factors that doesn't rely on the mother determining the sex of their offspring.
Color me a skeptic, but I'll believe social behavior before uterine gender manipulation any day of the week - especially in animals that are known to be social.