If you have created and backed up customized signatures that you want to replicate on another computer using Outlook, you need to import all custom signature files to the default Outlook directory. Read the Knowledge Base article on How Do I Back Up Outlook Signatures? for more information.
In order to import Outlook signatures, navigate to C:\Users\%USERNAME%\AppData\Romaing\Microsoft\Signatures, and paste the signatures you exported before.
To use exported signatures, navigate to Insert > Signature when composing new message in Outlook.