I think you trying to design a switch with memory. 1 button to ON and the, and 1 button to OFF.
My first comment, is that this is a very bad design. I explain later why I commented that.
To get the basic concept to work, you have to make some change according to the put I suggested circuit.
Note, even with this, functionally it can work, but there are serious flaws.
1. It works if you press the switch one at a time, but not at the same time.
2. If you press both switches together, there will be a short circuit to the supply. The solution to this problem is to have the 2 resistors (high values say 10K) on the switching path as shown
3. There is a another problem, the capacitor is acting as a memory holding the voltage. but it will discharge slowly over time. So if you press switch to OFF the light, the light will go OFF, but the capacitor will slowly discharge and over some time (depends on the capacitor leakage and gate leakage current), the switch will turn on again.
Solution, please find a circuit with a proper memory circuit instead of relying on the capacitor.
4. Also note that the symbol for the MOSFET is incorrect. IRFZ44N is a NMOS, but you are using a PMOS symbol which is incorrect.
5. You can also use the circuit suggested earlier by Ledtester. The basic concept is the same.