When I had the airbag taken out and the instrument panel out I started the car. Now after connecting everything the srs light does not go out. I was told this is because I turned the car on with everything disconnected.

How can I reset the srs fault code without a fault code reset tool?

You can’t , you have to hook it up to a scanner and clear the fault code or codes .The control unit picked up a an interruption in the air bag circuit and it is a hard code which means disconnecting the battery to clear the code will not work . keep in mind that since there is a stored code in the system , the air bag has been deactivated and will not deploy in the event of an accident so you should have it done . you do not need to visit the dealership but you do need to find a shop with the proper equipment