Finding the exact capacitor

If you're referring to the larger red SMD caps:

I'm not 100% sure as this is something I'm still learning, but I believe those markings mean these caps are 270uF 16V.

The printing looks like Nichicon from their FPCaps series.

Only issue is I do not know what the "13CG" line means or can find any explanation for it, other than possibly a date/batch code from the factory. If this is true, it may be the case that you'll never find an "exact' match as that date/batch is all past and used/gone.

All of this put together leads me to believe it is this (https://www.digikey.com/en/products/deta...) or something very close to it. Though I cannot be 100% certain. Especially since these things are sold under stock photographs so we can't verify exactly. But it's the best I'm able to find as far as a match is concerned.

If you have a caliper for precise measurement, you could probably match it even better to the physical dimensions:
Size / Dimension - 0.315" Dia (8.00mm)
Height - Seated (Max) - 0.472" (12.00mm)
Surface Mount Land Size - 0.327" L x 0.327" W (8.30mm x 8.30mm)