SSH Login fails while executing a backup bash script to commit to Stash - linux

Question

(I am very new to git and version control. ) I have several bash scripts that perform nightly backups- I also have a cronjob already set up,. Executing a single script at a time also requires the password even though I have tried my best to enable the scripts to perform ssh authentication but I keep getting prompted for my stash password when they execute(I have looked at several online resources but I think I keep going around in circles- not reaching anywhere close to the solution), if I could get my scripts to execute via ssh authentication then I can go ahead and run the cron job successfully.
I have already created the public - private key pair and my public key has been added to the Stash Project.
A ssh -v 'username'#'server' gives the following output :
`OpenSSH_5.3p1, OpenSSL 1.0.0-fips 29 Mar 2010
debug1: Reading configuration data /etc/ssh/ssh_config
debug1: Applying options for *
debug1: Connecting to dbstore1 [10.4.2.3] port 22.
debug1: Connection established.
debug1: identity file /home/<myusername>/.ssh/identity type -1
debug1: identity file /home/<myusername>/.ssh/id_rsa type 1
debug1: identity file /home/<myusername>/.ssh/id_dsa type -1
debug1: Remote protocol version 2.0, remote software version OpenSSH_5.3
debug1: match: OpenSSH_5.3 pat OpenSSH*
debug1: Enabling compatibility mode for protocol 2.0
debug1: Local version string SSH-2.0-OpenSSH_5.3
debug1: SSH2_MSG_KEXINIT sent
debug1: SSH2_MSG_KEXINIT received
debug1: kex: server->client aes128-ctr hmac-md5 none
debug1: kex: client->server aes128-ctr hmac-md5 none
debug1: SSH2_MSG_KEX_DH_GEX_REQUEST(1024<1024<8192) sent
debug1: expecting SSH2_MSG_KEX_DH_GEX_GROUP
debug1: SSH2_MSG_KEX_DH_GEX_INIT sent
debug1: expecting SSH2_MSG_KEX_DH_GEX_REPLY
debug1: Host 'dbstore1' is known and matches the RSA host key.
debug1: Found key in /home/<myusername>/.ssh/known_hosts:2
debug1: ssh_rsa_verify: signature correct
debug1: SSH2_MSG_NEWKEYS sent
debug1: expecting SSH2_MSG_NEWKEYS
debug1: SSH2_MSG_NEWKEYS received
debug1: SSH2_MSG_SERVICE_REQUEST sent
debug1: SSH2_MSG_SERVICE_ACCEPT received
debug1: Authentications that can continue: publickey,gssapi-keyex,gssapi-with-mic,password
debug1: Next authentication method: publickey
debug1: Trying private key: /home/<myusername>/.ssh/identity
debug1: Offering public key: /home/<myusername>/.ssh/id_rsa
debug1: Server accepts key: pkalg ssh-rsa blen 277
debug1: read PEM private key done: type RSA
debug1: Authentication succeeded (publickey).
debug1: channel 0: new [client-session]
debug1: Requesting no-more-sessions#openssh.com
debug1: Entering interactive session.
debug1: Sending environment.
debug1: Sending env LANG = en_US.UTF-8
`
So looking at the above result- the authentication using the SSH public key is successful for my user account, right?
Now, the problem comes in when i execute the schema backup script - sudo ./script.sh
It keeps asking me for my (stash) password when it is about to commit/push. Also, I noticed that when I supply the password and there is a successful commit on Stash - the author is displayed as 'root'.
So my SSH public key is set up for MY user account but the commits are made from root - Could this be a cause of why ssh login doesn't work for me ?