"report on a study" is correct and usable in written English.
For example, "The professor asked the students to write a report on a study of the effects of climate change on local species."
I remember one particular project--a report on a study of fish behaviour--that required some stylistic and copy editing.
In this paper, we report on a study of streamer changes associated with prominence eruptions.
Here, we report on a study aimed at the effects of co-doping on photocatalysis.
In particular we report on a study on information presentation using display appliances.
A report on a study by Yale Global Health Justice Partnership about hepatitis C treatment for inmates.
We report on a study of the gelation phenomenon of poly vinyl alcohol) in water through freezing thawing cycles.
You report on a study that says people are getting fatter these days ("In Numbers, the Heavy Now Match the Starved," news article, Jan . 18.
Last week, the New York Times had a report on a study done with adults drinking chocolate-flavored skim milk and a control group drinking only the milk.
In this paper we report on a study that used object-oriented design metrics to construct such prediction models.
Herein, we report on a study of the effect of repeated injection of PEGylated liposomes on their pharmacokinetics in rats.
A report on a study of melatonin is being published on Tuesday in The Proceedings of the National Academy of Sciences.
