1) well you don't "move" records from one layout to another. You could move records from one table to another, but you don't have to do that in FileMaker to see all records for a given year or other range of dates. This does not require a separate layout either though such is possible.
2) and why would you do that? it can be done, but new users often want to do this to accomplish something that can be done much simpler without moving records from one table to another.
Finds can be scripted any number of ways. One option is to set up some global fields where you enter your search criteria before clicking a button or tripping a script trigger to perform a script that finds records. Such a script could automatically include criteria that excludes completed orders.
Here's a thread that provides a number of scripted find examples: Scripted Find Examples
If you want a specific layout to always filter the resulting found records so that only orders that have not been completed are found, you can select Layout Setup... and specify the OnModeExit trigger, selecting the Find option to perform a script similar to this to constrain the results of any given find to just those records that are not complete:
Enter Find Mode  --> clear the pause check box
Set Field [YourTable::YourStatusField ; "=" ]
Set Error capture [on]
Constrain Found Set 
This script assumes that your status field is empty if the order has not been completed.
Thank you so much - I needed a little direction! I'll look through the thread you sent to see the examples. The one above looks like it will do what I wanted as well.