Based on my cars manual it says required wattage for headlight is 55w but i installed it with a 95w osram headlight. Will this damage my battery or alternator?
Bro - It will not.
But check the socket and the wiring,- one or both could melt down,- depending on the quality/gauge of the material used.
_/_/_/ "The measure of a man is what he does with power" LJIOHF!