Types of replacement batteries
OEM battery
The first is OEM (Original Equipment Manufacturer) also known as a brand name battery. These are laptop batteries that are sold by the manufacturers (i.e. Dell, Sony, Compaq, Apple, etc.) and carry warranties under such companies.
Compatible battery
These are batteries that are compatible with the OEM batteries, and in most cases contain the identical power cells, but are made by a company other than the original manufacturer.
Refer https://www.prweb.com/releases/laptopsforlessbatteries/compatible/prweb442417.htm for comparison.
Useful video
MU06 battery replacement video https://youtu.be/NgrDxopPu40?t=149
HP tools
https://www.hp.com/us-en/shop/cv/batteryfinder -> Battery finder page
Example battery info from HP laptop
MUO6 Notebook Battery CELL ORIGIN KOREA FURTHER PROCESSED IN CHINA SERIES HSTNN-IBOX A TOREBKKAL
Rev: 169B - 130
PCID: 0690130000204610000620100
CONTAINS RALINK RADIO MODEL RT5390 CONTAINS FCC ID: VQF-RT5390 IC: 7542A-RT5390 SCT. RCPRART10-0859 CMIIT ID: 2010DJ3827 | CNC: C-8572
RAK-RT5390
CCAI 10
Reference
https://smallbusiness.chron.com/out-type-laptop-battery-70312.html