Choose right transistor for Battery protection IC
You can add series resistance between the two MOSFETs if you need a minimum effective Rdson value.

In this case, if Vsense is 0.1 V and Imax is 120 mA then if you set Ioverload at say 150 mA then total Rseries + 2 x Rdson = Vsense/Ioverload = 0.1 / 0.15 = 0.66 ohm.
Choose values to suit.
Subtract 2 x Rdson from that.
Usually Ioverload will be set somewhat above I continuous as this is meant to be a failure protection device rather than a current limiter or regulator. Actual Icontinuius charge or discharge would usually be the function of other circuit elements.