The solar flares and solar wind don't affect our lower atmostpheric weather directly. The increased solar radiation interacts with ionized (electrically charged) particles in Earth's upper atmosphere.
Intense "solar storms" can affect satellite communications and other things that depend on orbiting satellites. Apparently in 1859 an incredibly intense solar flare actually interfered with telegraph systems on the surface. This is very rare.
So while a solar flare could really disrupt electronics and things like communications and other things that depend on electrical fields, they don't do anything to affect our day-to-day weather. I hope that helps!