Add the vegan mayo, silken tofu, and non-dairy milk to a food processor. Pulse until the mixture is totally smooth, scraping down the sides as needed.
Add the herbs, onion powder, garlic powder, lemon juice and a pinch of salt and pepper. Pulse until blended, but there are still flecks of the herbs.
Taste and adjust seasonings, Adding more lemon, salt or pepper if needed.
Store in the fridge in an airtight container.