There will be raid tickets that gives you the raid SRs you have missed. Not sure when they becomes a thing, but they have been there for a while in the DMM version now.

The eidolon orb shop sells the eidolons from these raid events too. Quite expensive, but you'll get them eventually.

For the raids themselves, you'll get a chance to 1v1 them (in a sense) through the guild orders. Where the water guild order's final boss is Jorm on steroids and wind has quetzal on steroids etc.