The death rate in Russia went way up after the fall of the USSR.[1]
Democracy and a free market did not deliver a better life for the average Russian. It's important to understand this, because it's part of why Russia ended up with an autocrat.
Note that the Russian economy was still organised around a Sovjet planned economy. Just because you change the legal system doesn’t mean you have fixed the economy instantly. For example there were still monotowns, where the whole town was centred around a single factory. These towns are extremely fragile in a market economy.