The "Integration Status" on your AutoEntry home page shows the current status of the integration between AutoEntry and your accounts package. Seeing a 'no entry' symbol does not mean that AutoEntry needs to be disconnected and reconnected (integrated) to your accounts package, or that the integration has failed. There will be a reason below the 'barred' icon as to why an error has occurred.

Generally, the integration status will display the correct tick icon shown below:

Some accounts packages also show the client name you have connected to as above.
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The most common reason for the 'barred'/'no entry' icon appearing is if AutoEntry tried to publish invoices through to the integrated accounts package but some invoices couldn't publish. In the example shown below, AutoEntry tried to publish 1 invoice to Xero but it failed to publish. 

If an invoices fails to publish there will be a red exclamation triangle beside that invoice that you can click on to see the error.
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Changing a username or password in your accounts package can also break the connection between AutoEntry and your accounts package, prompting the 'barred' icon to appear.