Attack patterns that place a buff on you do not affect pets. Attack Pattern Beta- which debuffs the target- will improve pet damage against that target, though, but the pets won't spread it further unless they're Mesh Weavers.
Skills can help your pets too like Slavers are mlModified by:Skills Starship Weapons Training Starship Projectile Weapons Starship Flow Capacitors Starship Hull Repair Starship Driver Coil. I Still want to know what Flow Capacitors do for Slavers, I suspect its tied to stealing crew.
Flight Deck Officers Boffs help your pets as well. Captain power Fire on my Mark helps as well, because it works like attack pattern beta.