Whilst your question is vague, what you would do is hold them both in a container movieclip.
Code:
var container:MovieClip = new MovieClip();
container.addChild(finishedAnimation);
container.addChild(background);
addChild(container);
This would require you to have previously defined finishedAnimation / background. If you had not done, you would remove them from your stage and in your library tick "export for actionscript", give them a name and then:
Code:
var finishedAnimation:yourAnimName = new yourAnimName();
var background:yourBackgroundName = new yourBackgroundName();
Leaving you with:
Code:
var container:MovieClip = new MovieClip();
var finishedAnimation:yourAnimName = new yourAnimName();
var background:yourBackgroundName = new yourBackgroundName();
container.addChild(finishedAnimation);
container.addChild(background);
addChild(container);