Paperwork Reduction for Farmers and H-2A Modernization Act This bill expands the H-2A (temporary agricultural worker) visa program to cover additional types of labor, makes various changes to the program, and provides a safe harbor for errors in nonimmigrant worker visa applications in certain instances. The bill makes H-2A visas available to an alien providing temporary labor that falls within the federal government classification categories for (1) grounds maintenance workers; (2) farming, fishing, and forestry occupations; or (3) forest, conservation, and logging workers. The bill authorizes joint employers to file a joint petition for an H-2A alien. The bill allows (1) employers seeking to rehire an H-2A worker to submit a simplified petition, and (2) employers seeking to hire H-2A workers for different time periods during a fiscal year to submit a single petition for such workers. The Department of Labor shall establish an electronic filing and appeals system for H-2A petitions. U.S. Citizenship and Immigration Services (USCIS) shall communicate electronically with an H-2A employer when USCIS requests evidence from the employer, if the employer asks to do so. An employer who uses a third-party service to apply for a nonimmigrant worker visa shall not be civilly or criminally liable for errors in the application if the employer reasonably believed that the application was accurate and complied with statutory requirements.