Which is correct to say ?
I will cast my revenge or I will make my revenge?
And what other verbs used with revenge?
* How to ask my question as a native speaker?
They're both awkward. Say, simply "I will GET revenge" or, maybe "I will SEEK revenge."
If you want to elevate the tone a bit, you can use VENGEANCE in place of "revenge" (I will seek vengeance).