Current Seagate hard drive products tested and supported in macOS 10.14 Mojave:
Backup Plus Family
Fast SSD
Seagate Duet
Innov8
Seagate Seven
Seagate Wireless Plus (with latest firmware)
Seagate Wireless (with latest firmware)
Seagate Expansion
Seagate Personal Cloud
Seagate Internal Laptop and Desktop SATA hard drives
Seagate NAS
Seagate NAS Pro
Business Storage 4-Bay Rackmount NAS
Business Storage 8-Bay Rackmount NAS
If the Seagate hard drive is not being detected, try below USB External Troubleshooter steps:
Step 1: Try a different port.
Step 2: Try a different cable.
Step 3: Try a different computer.
Step 4: Verify the drive light is on.
Step 5: Try a different power outlet (Desktop Drives).
Step 6: Plug adapter directly into the wall if in a power strip (Desktop Drives).
Step 7: Verify that it the drive feels like it is getting power.
Step 8: For Windows, check Device Manager and Disk Management in computer management.
Step 9: For Macintosh, if the drive is not showing on your desktop or within Finder check disk utility (Applications > Utilities > Disk Utility).
Current Seagate software applications:
Toolkit 1.4
Paragon NTFS driver 15.4.x
Seagate Duet 1.4
If you are installing Seagate software applications for the first time, there is a security feature that was introduced in macOS 10.13 High Sierra and this feature has continued in macOS 10.14 Mojave. This feature requires user approval before allowing third-party kernel extensions (KEXT) to load. Follow below steps to enable Seagate software application extension in Security and Privacy of macOS:
Step 1: Perform Seagate software application installation. During the installation process a message will appear saying that a system extension tried to load.
Step 2: Click on Apple Icon > System Preferences > Security & Privacy.
Step 3: Click on Allow but if it that does not work then unlock the pane in the lower left-hand corner.
Reference
Seagate Knowledge: Will my Seagate drive work with macOS 10.14 (Mojave)?
Seagate Knowledge: Seagate software blocked on macOS
Seagate Knowledge: USB External Troubleshooter