So basically in this timeline Anakin is the leader of the rebel alliance.
Palpatine still successfully executed order 66, but Anakin was opposed too it. Anakin survived order 66 and created the rebellion with Padme.
Anakin raised Luke and Leia, and trained both in the force. Obi wan still lives and dies of age in a few decades. Yoda dies of age soon.
However, Han and lando are never involved, and continue to live as smugglers along Chewbacca.