"regarding the progress" is a correct and usable phrase in written English.
For example, "We will be holding a meeting regarding the progress of the project later this week."
"They spoke without an interpreter, and Nomura's limited understanding of English at times misled him regarding the progress that had been made".
"We gave the VHTs drugs and books in which they would record information regarding the progress of the programme but they have refused to return the books.
Yury Melnik, a spokesman for the Russian embassy in Washington, echoed Zakharova when he said in a statement: "In the past several months the Russian embassy … repeatedly requested through diplomatic channels information regarding the progress of investigation of the death of the Russian citizen.
The company said it would soon make an announcement regarding the progress on the $1.7 billion takeover offer.
Finally, conclusions are drawn regarding the progress to date, and plans for the next stage of the project are outlined.
Because of the nature of the mission, coverage and information regarding the progress of the rocket and its payload from then on was not disclosed.
Biopure is the latest example of a biotechnology company to be scrutinized for statements regarding the regulatory progress of a drug it is developing.
Questions regarding the actual progress have been asked.
The academic work regarding the remarkable progress on meshless methods has thus far received considerable interest and has been published continually both theoretically and numerically (see [16 25]).
Once scanning is complete, Photo Tagger presents a results page with a summary header that displays stats regarding the tagging progress, and a "Save to Facebook" button (more on this in a moment).
Regarding the overall progress of steel corrosion, the precipitation of carbonate and corrosion products might reduce the determining electrochemical reactions, i.e., reduce ongoing corrosion at places of significant scale deposition (cf. Nogara and Zarrouk 2014).
