how much yr car is driven ...skidding can also happen because of uneven weight n height of the car ... when we add cng normally we place extra packing for support n sometime we do some changes as well
so get yr car suspension checked and see if car any is more lowered or jacked
BRAKES : check your brake master cyl .....if its getting proper pressure to yr tyres..... if 1 tyre i pulling or the other .. then this can be reason of skid .... n check alignment issue of front wheels
you can check easily which tyre is locking n check for any pressure issue or leakage
steering or engaging clutch : i have no idea how you drive ... but sudden steering action of engaging clutch while you brake can also cause skiding and we never note this as this normally becomes our style of driving n we never think about it
this can be the reason other then then you have mentioned