@sghioto
>>No, the TP4056 limits charging current to 1amp max.
- why should it limit the current to 1A only? Any issue with charging the battery with 3A?

It's just the way the TO4056 is designed. It's programable up to 1 amp by resistor R13 as seen in post #9
What is the capacity of the battery being used?

 

@sghioto
- my two batteries (wired parallelly) are each 3300 mAh

 

@sghioto
- my two batteries (wired parallelly) are each 3300 mAh

I ve seen this Module where it apparently has four TP4056 chips in parallel to deliver 3 amps.
Would require additional mods to work in your application or a custom build.