There is no chance of you getting a company to do this. It’s not like a branch of the military where they will help with tuition in exchange for joining said military branch. Think of it from a company’s perspective, why would they pay to fund a future employee’s education when they could just hire someone with that education right away and save on tuition?
Also, I don’t know where you did your undergrad but almost all of my classes, engineering included, had a graduate student TA at the very least. You will be much better off asking your prestigious department for a TA position than you would be asking a company.