The raid on the Rain Galaxy occurred almost immediately after Rychard's orders were given out. Rychard himself had no need to move out, a single elite team of the Viola family was more than enough. In just a single day, the Rain Galaxy was already unable to mount a counter attack, being forced back into the own territory further and further.
The real shame of it was that they could have made this a real battle. But according to their deal with the Chaotic Water Sector, the Thrusting Skies Sector and the Viola family, the original intention was for them to pretend to be a third party caught in the conflict, they were meant to "battle" but purposely lose. While they would suffer a few casualties, it wouldn't be anything that they couldn't recover from.