It's difficult to explain because I don't know how you have it set up and how you want it to be.
In the code where the platform moves, if the actor is colliding with it, and if the platform has moved, set the actor's x to the same value that was moved. This is one approach but again you'll need to trial/error it till you get it looking good or acting the way you want it.
Same idea with velocity, if the platform gets speed, the actor gets speed as well. Of course this will be more harder to control if the actor and platform has their own movement behavior.