I think there must be a typo in your text ("Tribunal Aduanero y Tribunal Administrativo"), as it should rather read "Tribunal Aduanero y Tributario Administrativo," as per the original text and the actual name of the entity.

I checked the website of the TATA, and I found the following:

"El Tribunal Aduanero y Tributario Administrativo fue creado como un ente autónomo, especializado e independiente del Servicio Aduanero y de la Administración Tributaria, mediante la Ley No. 802, “Ley creadora del Tribunal Aduanero y Tributario Administrativo”, publicada en La Gaceta, Diario Oficial No. 128 del día siete de julio del año dos mil doce.

MISIÓN
Atender oportunamente como última instancia en la vía administrativa los recursos en materia aduanera y tributaria, y las Quejas formuladas por los usuarios aduaneros y los contribuyentes en contra de los funcionarios de la Administración de Aduanas y la Administración Tributaria, procurando que se corrijan aquellas acciones o conductas que afecten sus derechos, para una correcta aplicación de las normativas vigentes."

I would translate it like this: "Administrative Tax and Customs Court"

An alternative could be "Tax and Customs Appeals Court," as this is essentially the role of the entity; however, "administrative court" carries a similar meaning (see https://en.wikipedia.org/wiki/Administrative_court) and is commonly used in official texts.

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Note added at 59 mins (2020-05-02 00:14:48 GMT)
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In Canada, the official tax court is called the "Tax Court of Canada" -- see the link https://www.tcc-cci.gc.ca/tcc-cci_Eng/About.html

Its functions are very similar to the TATA.

Here is more information about the UK Administrative Court: https://www.gov.uk/courts-tribunals/administrative-court

By the way, if I were you, I'd translate the text as "Nicaraguan Administrative Tax and Customs Court." This gives it more context and is more precise.