Laptop not opening
My laptop is not turning on it showing this and turning offf again and again
MacBook
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That is a Kernel Panic and it notes that the Logical Volume Group on the drive is damaged and needs repaired. Try booting into Recovery Mode (Command + R) or Internet Recovery Mode (Command + Option + R) and run Disk Utility First Aid on the drive.
Try running the Apple Diagnostics (for older computers you will need to access the "Apple Hardware Test" link included in the article.
I would be concerned that this is an older Mac and the hard drive may be starting to fail. The diagnostic doesn't detect all drive failures so even if it passes the drive could be failing. I hope you have a backup.