You can measure Reactive oxygen species level in animal models in untreated and treated animals. It will tell you whether your extract has anti-oxidant activity or not.
It is important to investigate not only antioxidants in the blood (to see what they do in circulation), but also different tissue types. There are various types of assays that you can do. For example the ORAC assay...You can also measure the antioxidant enzymes directly in different assays.
Mostly antixoidant activity for compounds are generally tested in oxidative stress induced organ toxicity models such as PCM or CCL4 induced hepatotoxicity, doxo induced cardiotoxicity, cisplatin induced nephrotoxicity. if the compound is having potent antioxidant properties, it will prevent total oxidative stress induced elevated biochemical parameters in the specific tissue confirms the antioxidant activity of the compound in the animal models.