I tested them both, funny as it is both allowed 1.8amp way over what i need.
@anon35827816 thanks for the insights. yes, i should have read them carefully. I tested the tp4056 module before and it wasn't allowing over 1 amp. I am definitely sure about it. that's why i am saying one only allowed 1 amp. that was a year ago. this 2 module i brought it recently. maybe they are genuine parts, that old one was a copy?
Nevertheless i got to issue solved. thanks @anon57585045 and @anon35827816.