UV is < 400nm. Red is 630-690nm and secondly unless you have a dpss red ( they are extremely rare ) any red laser you have is a diode laser and has no IR.
As with any laser eye protection you must match the specific wavelength(s) of the laser and the glasses. It's very specific you can't even be close as a diffrence of 5nm can make a change of 90% or more in transmission. It would be like wearing nothing at all.
Using welding goggles or anything else "dark" is risky because you don't know if it blocks the wavelength your laser produces.
You can try shining your laser through the corner in a dark room and if anything at all goes through the lense it's not safe.
