Since you didn’t post the original, it is difficult to see the difference.
My guess is there is a color profile mismatch. The cutouts may be set to Adobe RGB 1998 and the template set to sRGB. That can cause a shift to red.
Are the both the cutouts files and template files set to sRGB?
If that is not the issue or you are unsure then please send me one of the player images and the template file. I’m sure I can figure it out right away if I had the files to look at. Since the template PSD file is probably too large to send in an email, you could just downsize it to something small, say 500 pix tall. I don’t need full resolution, just need to see the color, layers, and color profiles.