Is it permissible to receive a salary from my two governmental agencies (ANEM and DAS) specialized in employing unemployed youth, without actually starting work, and merely having the employer falsely sign the monthly attendance sheet? And is the wage received in this case lawful?

What is mentioned in the question is cheating, lying, forgery, and unlawful consumption of public funds. These young men must attend regularly or resign from their jobs. The wages received without attendance are not permissible for them, and they must return them to the employer if the employer is just; otherwise, they must spend them on public welfare and charitable causes.