Question
The problem is that a few "deadlines" have come and gone and changes keep being made as well, so we need an expert with a relevant programming background who can review where we are currently at in the project and help us understand what it's going to take in order to stick to a realistic deadline this time.
Answer
You need an itemized list of the changes that need to happen. Time & Cost (moreso time it sounds like) to knock them out. To answer your question, look for a consulting company that specializes in the language/technology your platform is in.