Basically, you need to give the muscles time off to rest.
Recently, I went crazy trying to see how many glute-ham situps I could do in a minute and was sore for a few days as I was doing very fast, ballistically. Even lifting my heels in a seated pike/L position was asking a lot, much less a L-sit or L-hang. They were even feeling it in a simple ring support or hollow.
It's not just a matter of them being sore, but extremely fatigued (aka lots of micro tears). Rest was the only cure.
Very difficult for our sport since they are in use all of the time. Do what you can that does not aggravate them. Handstands and wall HS, candlesticks, tramp bouncing, tumbling or saltos perhaps.