Your sentence lacks context, but I guess it means that the deliveries have been delayed/posponed 延迟交货、交期延後

please see the link and download the doc file, you'll see.
here the order should be referring to sales order.

In this page, there is a provision for entering "Pull In Days” and "Push Out Days". These parameters may be thought of as filters for MRP Order Actions when the requirement dates for the parts changes.

the following sentences indicate the context wherein push-in and push-out are used:
The Push Out value (in days) is the number of days that the required date, base on MRP, may be pushed out (required later than the original date) but will not result in a change order to move the required delivery for the item involved.
Then the customer requests that the delivery date be pushed out a period of time, say two weeks.
This would slip the schedule for all action items accordingly, with no push-days for the components or assemblies.
Now this is what MRP would then do - create change orders to also push out all of the components and work orders for that required assembly. Depending on how much time the requirement is pushed out, it may be inappropriate to also make all of these changes. So that's where the Push-Out days helps diminish the amount of overhead in managing inventory.

Let's say that we have the requirement pushed out by the customer by four days. And in the assembly being sold, it has a push-out day’s value set at seven days. The net effect of this situation is that while the shipping date for delivery of the product has moved out, the work order, and the components for the work order do not require any further action because of the push-out days for the assembly.
It is up to the user to decide which components should have push-out filters applied, and for what period of time.