Why is an incorrect asset/entry appearing in the Add Assets - Sage Intacct tab?
The way that our synchronization works for importing assets from Sage intacct into AssetAccountant is via the Asset Clearing account in Sage.
This account is scanned for new credit entries, which are then populated into the Add Assets menu – Sage Intacct Tab in AssetAccountant. Any entry that you code to the Sage Asset Clearing Account will appear here.
Asset Accountant doesn't distinguish between entries marked as "purchases" or "journals". The descriptions are not relevant. Purchase/Credits in the Asset Clearing Account may be coded or mapped there via bank transactions, AP purchases or direct journals.
How do I reject them?
When you select Add Assets – Sage Intacct tab in AssetAccountant you will see the list of assets/entries from your Sage Asset Clearing Account that are available to import into AA as either an asset or an additional cost.
AA also recognises that there may be assets that you do not wish to import into Asset Accountant. For these unwanted assets/entries simply click the IGNORE button to reject them. This will remove them from the list and they will not be imported into AA.

How do I prevent entries from populating in the Add Assets - Integration page?
If you do not wish for assets/entries to be populated into the Asset Accountant Add Assets page at all, in Sage you could code them to a different Clearing Account rather than the Asset Clearing Account.