That old, red-centered logo most likely is from the workers union times (1929).

This new one with new colors can be found from the football team's own net page.

https://vakp.fi/jalkapallo/

I gave you wrong information.

I was able to contact a person in VaKP, and he told that they use the old (red) logo,

and he didn't even know why that green-white logo is made for…

Edit.  Actually, they had used that green-white logo for some time, but then went back to the original one.