It happened in the early hours of Sunday 17 November when the suspects broke into the Dales Market Corner store between 2.30am and 5.30am.
The suspects stole cigarettes and cash after forcing open a cash machine inside the store.
Officers believe they had carried out earlier reconnaissance and tampered with the alarm before returning to the store to carry out the burglary.
They are also urging business owners and staff to be vigilant, and ensure their alarms are working properly before closing up for the day.
Anyone with any information is asked to contact North Yorkshire Police on 101 and pass information for incident number 97 of 17 November.
If you wish to remain anonymous, you can pass information to Crimestoppers on 0800 555 111.