Hello anton josef,

The resource below will help with the issue you are having with your login password not working after restoring your Mac from Time Machine. I've highlighted some key information below.  Click on the link for complete details.

Change or reset a user account password on your Mac

Get a password hint

Start up your Mac and try to log in. If you don't remember your password, leave the field blank and press Return. If your password is blank, this logs you in. If your password isn't blank and you previously set up a hint, the hint button (?) appears. Press the hint button in the password field to see your hint.

Try the Password Recovery Assistant

If your startup disk is encrypted with FileVault, you can enter your Recovery Key as your password or you can restart your Mac to use the Password Recovery Assistant. Use these steps to open the assistant:

1. Wait a few moments at the login screen without typing your password. A prompt should appear telling you that you can turn your Mac off and back on again to recover your password.
2. Press and hold the power button for three seconds to turn your Mac off.
3. Press the power button normally to turn your Mac on. 

When the Reset Password window appears, follow the onscreen prompts to get help logging in.

Get more help

If you're not able to change or reset a user account password on your Mac, contact Apple Support for more help.

Last Modified: Aug 18, 2015

Take care,