You will get a warning message when you open Adagio Ledger because of what you said; January is in your new fiscal year and you have not yet run Year End. This is expected and OK.

I would recommend entering your January 2004 transactions in one batch, and any transactions that are pertinent to 2003 in a separate batch. When you are ready to run Year End, archive the batch for 2004 and post any other batches for 2003. Then back up your data, run Year End processing, then Restore the batch with January transactions. This is the usual processing for dealing with the overlap at the end of the fiscal year.

Here is a link to another posting related to running Year End in Adagio Ledger (found by using the Search function at the top-right of the Forum screen):

Ledger Year End