[talanum1 (OP)]

We have 3 colors and 3 anti-colors so there can be "Mesons" made of 2 quarks and 2 anti-quarks or made of 3 quarks and 3 anti-quarks and it will be held together by the strong force.

[Bored chemist]

How Many types of Particles are there?

Two.
Matter and antimatter.
You need to work on your definitions.

[Kryptid]

We have 3 colors and 3 anti-colors so there can be "Mesons" made of 2 quarks and 2 anti-quarks or made of 3 quarks and 3 anti-quarks and it will be held together by the strong force.

Those are called tetraquarks: https://en.wikipedia.org/wiki/Tetraquark

How Many types of Particles are there?

Two.
Matter and antimatter.

Where does that leave photons?

[MichaelMD]

Another way to approach this question is from the perspective of ether theory.

If one entertains the idea that an ether is composed of separate "units" (rather than being a "fluid" type of ether), then a logical step from there would be that: (1) Since any ether would have to be universal, by its very nature, (2)Such an ether, composed of "units," would have arisen first-causally,, from ultimately-small, etheric, "elemental" units  - all of these being "unit moieties," of larger and larger sizes, up to the size-scale of quantum units and atoms.

Physics now considers that the many quantum-scale units (photon electrons, quarks, etc.) that we are able to observe are separate in nature, with the key unit being a "Higgs boson," which in present physics theory represents the unit that produced a quantum-atomic setting by a process that originated solid matter, or "mass."

In my ether model, the very first setting was original universal space, within which a pure type of oscillation, of elemental units, transitioned to a "second world" composed of vibrational, independently-interacting, elemental, ether units.

My model of universal, very-closely-related unit-moieties, is simpler than the present physics model. The principle of Occam's Razor can be applied here.   

[Kryptid]

Another way to approach this question is from the perspective of ether theory.

If one entertains the idea that an ether is composed of separate "units" (rather than being a "fluid" type of ether), then a logical step from there would be that: (1) Since any ether would have to be universal, by its very nature, (2)Such an ether, composed of "units," would have arisen first-causally,, from ultimately-small, etheric, "elemental" units  - all of these being "unit moieties," of larger and larger sizes, up to the size-scale of quantum units and atoms.

Physics now considers that the many quantum-scale units (photon electrons, quarks, etc.) that we are able to observe are separate in nature, with the key unit being a "Higgs boson," which in present physics theory represents the unit that produced a quantum-atomic setting by a process that originated solid matter, or "mass."

In my ether model, the very first setting was original universal space, within which a pure type of oscillation, of elemental units, transitioned to a "second world" composed of vibrational, independently-interacting, elemental, ether units.

My model of universal, very-closely-related unit-moieties, is simpler than the present physics model. The principle of Occam's Razor can be applied here.   

If you are going to suggest a new theory, please start your own thread about it instead of injecting it into someone else's thread.