sometimes it's necessary to compile such packages (then you need necessery tools like gcc, make, automake, gcc-c, binutils, glibc etc.). If this is the case you can probably find a helpful README or INSTALL file.
Or otherwise (like it is here) you can look if there is any executable binary file. It's below RedshiftGUI*/bin. If it's not executable, you can make it executable. Either via your file browser or via:
chmod u+x ./redshiftgui
from the path where it.
I tried to execute it from terminal:
bash: ./redshiftgui: /lib/ld-linux-x86-64.so.2: bad ELF interpreter: No such file or directory
it seems to me that this program isn't very friendly on a 64 bit Fedora linux system.
you could proceed with:
yum whatprovides */lib/ld-linux-x86-64.so.2
But it will not show any packages under Fedora. Fedora has it's 64 bit packages ussually in the lib64 folder. Sometimes it helps to make a symbolic link like this:
ln -s /lib64/ld-linux-x86-64.so.2 /lib/ld-linux-x86-64.so.2
On a 32 bit Fedora it is probably a bit easier to get it working. It could be that you will have to install a dozen other packages after installing this and that... Perhaps not worth the effort.