Each result annotation found with the remote BLAST in UGENE has "accession" and "id" qualifiers that can be used to fetch the corresponding sequences from the NCBI. The prompt way to fetch the sequences of several annotations is the following:

The following dialog will appear:

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  <img src="/wiki/download/attachments/19759652/Fetching Sequences from Remote Database.png"/>
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Select an output path in the dialog and click the OK button.