MacBook OEM, Aftermarket, and Knock-Off Batteries
Batteries
MacBook Pro 13" A1502 2015E Model: A1582
Macbook Pro 15" A1398 2013L-2014M Model: A1494
Original battery disassembled from untouched device.
Macbook Pro 15" A1398 Early 2013 Model: A1417
Macbook Pro 13" A1706 Touch Bar 2016 Model: A1819
Original battery disassembled from untouched device.
Aftermarket Batteries
MacBook Pro 13" A1502 2015E Model: LMP A1582


Apple MacBook Pro 15 A1398 (Late 2013, Mid 2014) Model: LMP A1582
Battery diagnostic and troubleshooting
This is an old article. New one is here: MacBook battery diagnostics and repair
Clean AHT does not necessarily mean that battery is fine. The most basic thing you should expect to measure is output voltage as soon as SYSTEM_DETECT_L is pulled low. On many modern boards it is pulled down by mosfet which means it means to have ppbus BEFORE battery will be activated on (after you plug the charger it will pull the switch down and activate the battery). If you do not have the charger (say, cd3215 is blown and you have to recover data urgently) you can find this circuit on your board and simply pull this line to ground for a short period of time. This will enable battery and allow you to safely recover the data before proceeding to fix cd3215/17 circuit.
The second thing to expect is communication. if battery outputs voltage, it SHOULD communicate.
Many macbooks like A1398 15" DG need good battery to fully boot and properly work. MacBook Pro 16" will throttle with a bad battery and will blow full fan if no battery is present (however it will fully boot).
To diagnose Smartbattery controller you need special equipment. The only affordable device so far is NLBA1(laptop battery analyzer and repair device). This device allows you to diagnose and calibrate almost all common batteries including apple. In most cases you can see battery flag like permanent failure or "terminate discharge alarm" or "fully discharged".
If battery is clean and "should be working", there is still a chance that internal fuse is blown and battery will still report good condition. Personally i do not recommend recelling batteries and never plan to. LiPOL Chemistry is not a rocket science but if done unproperly - life dangerous. I am using this device purely to keep stocked batteries in a good shape + charge batteries in case of urgent data recovery.
I am currently developing adapter board for all common apple connectors, so this section will be improved later.