Inflation reduction has nothing to do with any government efforts. It was inevitable given that it is only based on a comparison with a certain 'basket' of prices at the same time in the previous year. As inflation was mainly caused in the spring of 2022 by massive increases in energy prices caused by the war in Ukraine, with their knock on effects on supply costs it was always going to come down as this huge increase hasn't been sustained over the intervening 12 months. Any prices that have risen have done so more slowly, which automatically reduces the inflation figure. I trust that people can understand that (though the government is pinning its hope on people not being able to understand how the inflation figures 'work')
Of course, the Bank of England interest rate rises have been inflationary in the area of mortgages and rents, but these are not included in the 'basket' of items used to calculate inflation. It will also feed through to companies with outstanding loans, as they will pay more interest on them.
The other key point, that government is hoping that people don't understand, is that a lower inflation rate doesn't mean lowered prices.
So, all in all, government is flagrantly dishonest in trying to claim that it has made any positive effect on inflation.
You can cross falling inflation off your list of government achievements, GSM