“Authoritarian populism” and “progressive populism” are
widely-used names of particular political ideologies. While their etymology of course relates to the more general sense of, respectively, “authoritarian” and “progressive” in denoting political ideologies, in both cases the definition is not a simple combination of the general sense of one of those terms with the general sense of “populism”, but much narrower. Authoritarian populism is a particular subset of right-of-center populism and progressive populism is a particular subset of left-of-center populism, and they are, in fact, non-overlapping even if, arguably, “progressive” and “authoritarian” are not. (Similarly, “authoritarian populism” arguably is not even a subset of “authoritarianism”, though it at least overlaps with it.)
> See, for example, Venezuela.
“Progressive” and “socialist” aren't mutually exclusive, but neither does the latter imply the former; “progressive” and “authoritarian” might overlap, but Venezuela's government isn't an example as it isn't progressive.