Your question uses confusing terminology.
I'm assuming when you say the "lottery" you are referring to the H-1B cap? The USCIS has not had to go to the lottery system for several years now. The petition was denied?
If so, it is usually one of three things: (1) the position does not qualify as a professional position requiring a minimum of a 4-year bachelors degree; (2) you don't have the required degree or (3) the company does not qualify (financial, etc.)
This is more of a labor-employment question, but I would think that since the petition is filed and signed by the company, the potential employee would not have a right to know, but certainly should be told why.
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