The gate relay wires connect to the terminal block shown below in green. Most gate setups will connect to Normally Open (NO) and Common (COM). The gate should open 100% of the time if these two wires are touched together prior to securing to the terminal block. The Guardian Keypad relay acts like a remote control. It can open the gate, and even hold it open but does not control how long the gate takes to close or how far it closes once the gate has been released.
Is the keypad granting access but you are having trouble with the gate either not opening or not closing? You may find these knowledge base articles useful.
Gate Won’t Close: http://support.quikstor.com/knowledgebase/gate-wont-close/