Rsync syntax error when run from bash script - bash

Question

I have been working on a backup script that uses rsync to do an incremental backup.
I have tested the following rsync command manually, and it runs and completes a backup without error:
rsync -aAXv --delete --progress --link-dest=/backup/Uyuk/Uyuk-backup-part1/2014-02-24/ /mnt/backup/ /backup/Uyuk/Uyuk-backup-part1/2014-02-25/
however when I run that same command in my backup script it gives me the following error:
rsync: -aAXv --delete --progress --link-dest=/backup/Uyuk/Uyuk-backup-part1/2014-02-24/ /mnt/backup/ /backup/Uyuk/Uyuk-backup-part1/2014-02-25/: unknown option
rsync error: syntax or usage error (code 1) at main.c(1422) [client=3.0.6]
I ran bash -x on my script to figure out exactly what is sent to the console and here is what was printed:
+ rsync '-aAXv --delete --progress --link-dest=/backup/Uyuk/Uyuk-backup-part1/2014-02-24/ /mnt/backup/ /backup/Uyuk/Uyuk-backup-part1/2014-02-25/'
Does anyone see what is wrong? I cant find anything that would cause the syntax error.
EDIT:
Here is the actual code I have in the script, and this is a pretty large script so yes some variables are not defined here, but you get the idea.
mkdir -p "/backup/$HOST/$NAME/$TODAY"
#source directory
SRC="$MNT"
#link directory
LNK="/backup/$HOST/$NAME/$LAST/"
#target directory
TRG="/backup/$HOST/$NAME/$TODAY/"
#rsync options
OPT1="-aAXv --delete --progress --link-dest=$LNK"
#run the rsync command
echo "rsync $OPT1 $SRC $TRG"
rsync "$OPT1 $SRC $TRG" > /var/log/backup/backup.rsync.log 2>&1

Answer 1

You are passing your option list as a single argument, when it needs to be passed as a list of arguments. In general, you should use an array in bash to hold your arguments, in case any of them contain whitespace. Try the following:
mkdir -p "/backup/$HOST/$NAME/$TODAY"
#source directory
SRC="$MNT"
#link directory
LNK="/backup/$HOST/$NAME/$LAST/"
#target directory
TRG="/backup/$HOST/$NAME/$TODAY/"
#rsync options
OPTS=( "-aAXv" "--delete" "--progress" "--link-dest=$LNK" )
#run the rsync command
echo "rsync $OPT1 $SRC $TRG"
rsync "${OPTS[#]}" "$SRC" "$TRG" > /var/log/backup/backup.rsync.log 2>&1
An array expansion ${OPTS[#]}, when quoted, is treated specially as a sequence of arguments, each of which is quoted individually to preserve any whitespace or special characters in the individual elements. If arr=("a b" c d), then echo "${arr[#]}" is the same as
echo "a b" "c" "d"
rather than
echo "a b c d"
This will not work in a shell that doesn't support arrays, but then, arrays were invented because there wasn't a safe way (that is, without using eval) to handle this use case without them.

Answer 2

This:
rsync "$OPT1 $SRC $TRG"
passes all your intended arguments lumped together as one argument, which rsync doesn't know how to deal with.
Try this instead:
rsync ${OPT1} ${SRC} ${TRG}

Answer 3

The approach suggested by #chepner didn't work on my Mac OS X (10.9.4), but eval did.
eval rsync "$OPT1 $SRC $TRG"