Is it permissible to work for a company that compulsorily deducts money from employees' salaries for funds that deposit their money in usurious banks, and is it permissible to hand over the disbursement papers for these funds to the concerned employee?

It is not permissible to deposit money in interest-based banks except in cases of dire necessity. What the company does, depositing money deducted from its employees in interest-based banks, is religiously forbidden. If the questioner's work is limited to delivering disbursement requests from those funds to the concerned employee, then there is no objection to this work.