Oh boy... Sad. Okay, a lot to say:
It appears that you meet the requirements. Did you validate your studies thrgout ECA agencies (WES, ICAS, University of Toronto and etc.)?
Did you get the provincial nomination as engineer or teacher?
Right now, to the readers like me, it seems that you got the nomination as an engineer, but proved experience as a teacher. But I'm not sure because you didn't point where you think they made a mistake or you made a mistake. A side made a mistake, that is for sure.
Advices:
If you have the chance to submit documents now, the only advice is making your defence clear. As I said, the English looks weird, and consider that people are not specialists in your area of expertise, and write in a way that communicates with a border/visa officer. For instance:
iii.All the documents to prove it are readily available with me and can be despatched immediately. I have Master's qualification and Electronics Engineer teaching Electronics Engineering to B.Tech ( Electronics Engg.) studends in an AICTE approved,ISO 9000 certified, NBA Accredied and affiliated to Dr AK Technical University ( Govt of UP University). I have more than 11 years of experience and the present post is Assistant Professor (Electronics & Communicationn Engg.)
In bold are things that are either wrong in English, or does not make sense to us, like AICTE, NBA (other than the basketball league), Dr. AK would be "doctor AK", we don't know what UP is (we know what up is) and so on. Imagine someone telling you he is a Phleb., M.D., & D. Clin. Micr. from CMVA and CPO approved university, current member of CMA and IPA. If all an immigration officer knows are immigration requirements, I would not know how that person meets the requirements. They make mistakes, and we, unfortunately, pay for that.
Make sure you translate your qualifications to a layperson, a regular government employee. Imagine that person with a pile of documents with a deadline to meet and no time to figure what you wanted to say or what those acronyms mean.
And if you have no chance to appeal easily, but just in court, and are absolutely certain you are right and they are wrong, then you may go to court.
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HOWEVER...
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If you are skilled, experienced, and have enough points for the express entry, and are willing to immigrate to Canada, and this loss means just an unfortunate momentary delay, I would highly recommend starting a new application.
It would be faster and cheaper.
Hiring a lawyer in Canada for that would start at 5k Canadian dollars at least, easily reaching 10k, and a family of 2 would still need a settlement funds of about 114k.This path would take 1-3 years, and you could lose.
On the other hand, starting over is cheaper and faster.
Starting a new application would require from you the fees and funds and you get your ITA, then PR in 6 months (EE) or 15-19 months (paper based provincial nomination). And you will not have to deal with layers that may make mistakes to your application. Note that they will always say your victory is certain, even if your loss is certain. You lose the money, they get richer, and next day they move on predating someone else.
And there are always other ways, like coming as a worker or student, and you could avoid the need for settlement funds if you are settled and employed in Canada. So if this is your dream, do not give up and keep working for it.
