It sounds like a healthy drink for sure but it's not really going to detoxify your liver.
In order to get enough of the active ingredients naturally food in foods that help detox your liver (like alpha liopic acid for example), you need to use a supplement.
The supplement @Stevesmi suggested is really good.
Do both - drink your greens drink AND supplement with a good quality liver aid supplement like n2guard from needtobuildmuscle.com