Hello

I want to achieve the following.

However the concatenation is not working

mv `ls -ltr *myfile*.log|awk '{print $9}'`  `ls -ltr *myfile*.log|awk '{print `date +'%d%m%y%k%M%S'` $9}'`

awk '{x=`date +'%d%m%y%k%M%S'` print $x "" $9}'
awk '{x=`date +'%d%m%y%k%M%S'` print x "" $9}'

You're just trying to prepend the date to filename?

date=$(date +'%d%m%y%k%M%S')
for file in *myfile*.log; do
  mv "$file" "${date}${file}"
done

NO backtics in awk, please! And, using nested backtics like in your mv command needs escaping them. That's why backtics are deprecated and users are encouraged to use the $(...) form of command substitution.
In order to get the output of a shell command into an awk variable, you need to use command, pipe, and getline like in

$ awk '{"date +%d%m%y%k%M%S"|getline x; print x}' file
010313114139