Here is what the BYSA policy says.
Remember – the referee has final authority to suspend/terminate a game due to weather and/or playing field conditions.
Teams shall be at the field on time and ready to play for all scheduled games. If a game is suspended, the coaches shall notify the Scheduling Committee within 48 hours of the regularly scheduled game time. Coaches shall not reschedule a game without adherence to this procedure. The BYSA Executive Board has final authority.
Rain: Unless a field has been closed, only the referee can suspend a game because of foul weather, which could create dangerous playing conditions.
If a game is suspended prior to the mid‑point of the second half, the game must be rescheduled and played in its entirety. If the game has reached or gone beyond the mid‑point of the second half, the game will stand with the existing score at the time of termination.