Well, " shock and awe " is the best modern strategy if you could manage it, which few can. I think that Russia tried it in the beginning of their invasion but abandoned it because it couldnt be done. So they changed strategy to a decades old one ( which kind of works, ngl )
What i have seen is that Russia is using its artillery, probably the best doctrine for them at this moment. Lightly equipped prisoners that charge Ukrainian positions, they die and then russian artillery/more experienced units identify Ukrainian positions and assault these. Quite smart, get rid of prisoners for a rly small cost. Most of Wagner does poorly equipped wave attacks, the more experienced original wagner does infiltration coupled with artillery, worked in Soledar. But plenty of sources now say that Russian regular military has largely replaced Wagner in the area, whether it is due to huge Wagner losses or simply a power move i dont know ( I believe in the former )
Other offensives seem to be in Kreminna-Svatove, pushing the Ukrainian offensive back. And Zapohirzhia, in Vuhlnedar. The former seems to have some success, but battles in the forests are difficult and costly. The Vuhlnedar attack has been unsuccessfull with major losses ( from what i have seen on geolocated videos )
I just dont see how Bakhmut is a meat grinder in favour for the Russians. They are attacking fortified positions in an area dominated by civilian buildings against a determined defender, the only advantage Russia has is their artillery. But the consensus amongst most observers is that Russias artillery advantage has lessened compared to the similar situation last summer. Its still greater than Ukraine, but is also more unprecise.