Kimberley, 26, was first to get her hands on a title after beating India's Sushila Likmabam with an ippon in the -48kg weight category at the Scottish Exhibition and Conference Centre.
Louise, 31, then followed up by overcoming England's Kelly Edwards in a tense -52kg final.
"I watched a bit of my sister's fight...but I had to keep myself focused," Louise told reporters.
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"I feel really proud with us getting the first gold medals for Scotland and there is much more to come."
Scotland's Stephanie Inglis also took silver in the women's -57kg class while compatriots John Buchanan (-60kg), James Millar (-66kg) and Connie Ramsay (-57kg) all claimed bronzes.
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