help! my laptop recognize my external hdd but its not showing in my computer, then i go to computer management and my hdd is not initialized. im worried that my files in hdd will be deleted after i initialized the disk. Can i recover the files?

How is the drive connected? USB I presume? Have you tried rebooting the computer with the drive attached. That will often fix this issue. If you initialize the drive, you WILL lose all your data.

What format is the External disk partition? FAT32? EXT4? MAC Journaled?

right click o my computer , then manage and click on disk management
if the Drive is showing up then it's working