To disable an active recurring donation automatically being processed through fundraisingManager you need to follow two steps:
i) Disable the Subscription
ii) Set the Recurring Donation to Closed in Salesforce
i) Disable the Subscription within Stripe
First, we will stop the automatic billing of a donor. To disable the recurring billing within Stripe, follow these steps:
Step 1: From within your Stripe dashboard find the subscription associated with the Recurring Donation.
From the dashboard click "More" then navigate to Subscriptions
Step 2: From Subscriptions view, click the ellipses and select "Cancel Subscription"
Step 3: Confirm the Subscription Cancellation immediately
The donor's profile is no disabled and will no longer be charged
ii) Update the Recurring Donation in Salesforce
Next, we need to update Salesforce to cancel the forecasted opportunities.
Go to the Recurring Donation and update the Open-Ended status. Set the Open-Ended Status to Closed and save the record.
This donation is now cancelled. No further payments will be charged to the donor and your Salesforce CRM shows that no more payments being forecasted.
(see the section on this article) - https://powerofus.force.com/articles/Resource/NPSP-Change-Close-or-Delete-a-Recurring-Donation#!#ariaid-title3