I'd like to recommend cellular antioxidant activity (CAA) assay. https://doi.org/10.1021/jf0715166. It had been established in different labs all over the world.
I recommend to read the papers and reviews of Professor Pincemail (University of Liège, Belgium). We should not expect one universal biomarker of redox status or antioxidant activity. Live cells may activate various detoxification or repair systems according to the organ they come from and the type of oxidative stress applied.