My H1b petition picked up in the 2014 lottery but my employer did not submit documents . My H1 b got denied.
You are not cap exempt since the 2014 H-1B petition was not approved.
Moreover, you or your employer can not file a motion to reopen a petition filed in 2014 by another employer for multiple reasons.
You will have to ask the lawyer for that other employer to opine on the matter.
The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter,not should it be viewed as establishing an attorney client relationship of any kind.
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