IMPORTANT: If your domain expired with your old Registrar, and you renewed it with them, then do not Transfer it within 45 days of the previous expiry date since it will not add 1 more year to your domain name, and you will lose out on the Renewal fees paid to the older Registrar.
If you have already done this mistake however, the only recourse is to obtain a refund from the Losing Registrar for the renewal you have paid for with them. There is little scope of getting it considering that most Registrars may not understand this issue or may not have a refund policy.