A modified version of https://github.com/wpbullet/wp-cli-backups-cloud-storage for my specific needs

backup.sh

#!/bin/bash

S3DIR="s3://BUCKET_NAME"
BACKUPPATH=/tmp/backups

SITESTORE=/var/www
SITE=public_html

DATEFORM=$(date +"%Y-%m-%d")
DAYSKEEP=7
DAYSKEPT=$(date +"%Y-%m-%d" -d "-$DAYSKEEP days")

mkdir -p $BACKUPPATH

echo Backing up $SITE
if [ ! -e $BACKUPPATH/$SITE ]; then
    mkdir $BACKUPPATH/$SITE
fi

echo Compressing $SITESTORE
tar -czf $BACKUPPATH/$SITE/$DATEFORM-$SITE.tar.gz $SITESTORE

echo Exporting Database
wp db export $BACKUPPATH/$SITE/$DATEFORM-$SITE.sql --path=$SITESTORE/$SITE --single-transaction --quick --lock-tables=false --allow-root --skip-themes --skip-plugins
echo Compressing Database
cat $BACKUPPATH/$SITE/$DATEFORM-$SITE.sql | gzip > $BACKUPPATH/$SITE/$DATEFORM-$SITE.sql.gz
rm $BACKUPPATH/$SITE/$DATEFORM-$SITE.sql

echo Uploading $SITESTORE zip
aws s3 mv $BACKUPPATH/$SITE/$DATEFORM-$SITE.tar.gz $S3DIR
echo Uploading Database zip
aws s3 mv $BACKUPPATH/$SITE/$DATEFORM-$SITE.sql.gz $S3DIR

echo Deleting any old backups on S3
S3REM=$S3DIR/
aws s3 rm $S3REM/$DAYSKEPT

echo Deleting all localbackups
rm -rf $BACKUPPATH/*