By default CLEARomni has prebuilt mapping for you. You can further adjust order status mapping under the Order Status tab under the Shopify Channel. This maps CLEARomni order statuses with Shopify defined order statuses.
Similarly, you can map CLEARomni order attributes with Shopify at the Order Attribute tab. Below you can find a reference mapping.
And mapping at order item level at the Order Item Attribute tab.
And Order Payment Attribute tab.