For technology companies hiring MBAs for most post-MBA positions (product management, business development, etc), your engineering background will be a big asset (Google used to *require* officially that their MBA hires had engineering/compsci backgrounds - they have since loosened that but still prefer it). This will be an asset even if the tech sector you're going into has little to do with your technical expertise -- the reason is because you're going into a sector where engineers are the heart and soul of the company culture. They want to know that you understand their world and their sensibility, even if your areas of technical expertise are completely different, because you're going to have to be working with them and incorporating their input in your decision-making process as a manager. Also, traditionally in engineering-centric sectors there is an embedded distrust for MBA types so they want to know that even though you have an MBA, underneath it all you are one of them
As fedexunledded said, for consulting and investment banking, your pre-MBA background won't matter, as they will take people from all kinds of backgrounds. For consulting, it really comes down to how well you do on the case interviews. For investment banking, it's about *fit* - convincing them that you understand what you're getting yourself into (the hours, the culture, etc.).
For everything else, your lack of related industry experience will be a hurdle - but not necessarily an impossible one. For example, if you really wanted to get into brand management, pharma, nonprofit or entertainment you probably could, but you'll have more of an uphill climb. But the biggest hurdle will likely be US immigration/work visa issues if you're an international.