Hello,
Sorry to hear about the inconvenience but it seems to be a third party Plugin conflict on your Site.
So, firstly please once make sure that you are using the updated WoodMart theme and WoodMart Core plugin on your Site. The latest version of the Theme running is 7.0.3 and the Core version running is 1.0.35.
Secondly, if you have Elementor Pro activated on your Site, can you please once try deactivating that and then try checking the Cart Off-Canvas style. If it gets resolved then the Pro plugin might be causing some issue.
If the issue still persists after that, then please take complete Backup of your Site first, then provide us the permission to completely debug your Site which includes deactivating all the third party Plugins and removal of on-Site Customization changes too, so that we can thoroughly check this issue on your Site and assist you accordingly.
Best Regards