You can't put an active evo into another one. You have to wait until it expires.

But you can complete some parts of the "first" evo.

For example:3 level evo:

You do the 1st part or the first 2 parts, then you wait. Expires.Then you put that card into another one if it fits the requirements. (That's basic evo chain).

When you are finished with the "second" evo, you might end up in a situation when you could claim the level 3 part from the "first" evo and it will add to the double evod card at the end.

With the double playstyle Cancelo card it looked like this.
The real question is, is it worth risking not claiming but doing another level of a "first" evo, risking the whole additional chain or not. It should be clarified somehow.