We are using LTC4162IUFD-LAD#PBF in one of our design and facing below issue
Input Current : 0.13A
Battery Voltage : 10.04V
Battery Current : -1.00mA
Charger_state : battery_detection
Charger_status : charger_off
Battery Charge : 0%
Device Temperature : 27.87 Degree Celcius
You mean it will not start charging on 10% of boards?
Watch the battery detection on a scope. You will be able to see a voltage pulse on the battery node for about 1 second every 30 seconds. Can you send a plot of that? What voltage does it get to?
It is possible the LTC4162 is being damaged (likely by hot-plugging inrush) and that damage prevents it from sourcing sufficient current during battery detection. See the attached guide on LTC4162 hot-plugging.