I dont have much idea about Belagavi and Goa. But I do know that a lot of buses are there and most - Sarige - are not updated on KSRTC site.
Here you can try this and get down at Sanquelim and then take another to MAO. Or get down at the station and see. I am sure direct buses are there too.
But this seems your best bet click here
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Why not get down at LD, that's much better.