Glossary entry (derived from question below)
English term
grogginess
Obrigado!
Proposed translations
Portugal
Maria Teresa Borges de Almeida 
30+ years translating EU documents
Native in: Portuguese (Variant: European/Portugal) 
Works in: English to Portuguese, French to Portuguese, Spanish to Portuguese, and 1 more.
sonolência
| agree |
Danik 2014
2 hrs
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Obrigada, Dani!
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| agree |
Nick Taylor
8 hrs
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Thanks, Nick!
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| agree |
A S Fontinha
22 hrs
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Obrigada, Ana!
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| agree |
Isadora Veiga
1 day 1 hr
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Obrigada, Isadora!
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Portugal
Spreading the Word
Native in: Portuguese
Works in: English to Portuguese, Italian to Portuguese, Spanish to Portuguese, and 2 more.
moleza
Brazil
Genuine dedication and professionalism
Native in: Portuguese (Variant: Brazilian)
Works in: English to Portuguese, Spanish to Portuguese
embriaguez, estupor, tontura, moleza
Portugal
25 YEARS OF HAPPY CLIENTS
Native in: English (Variant: UK) 
, Portuguese (Variant: European/Portugal)
Works in: Portuguese to English, English to Portuguese, French to English, and 7 more.
torpor
| agree |
Danik 2014
1 hr
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obrigado
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| agree |
Mario Freitas
: Sim, é melhor usar o termo médico.
3 hrs
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obrigado
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Brazil
Technical - Fast - good price - accurate
Native in: English (Variant: US) , Portuguese (Variant: Brazilian)
Works in: English to Portuguese, Portuguese to English, English, and 1 more.
sentindo grogue
https://books.google.com/books?isbn=8526311611 - Translate this page
Thomas Whiteman, Randy Petersen - 2014 - Religion
Isso significava que ela dormia quase toda a manhã, mas continuava se sentindo grogue ao levantarse
Discussion
"Acordar revigorado, enérgico e desperto, sem efeitos negativos secundários."
They gave each of the participants a time-release melatonin (2 mg daily for three weeks). They had improved quality of sleep and morning alertness (not grogginess). The researchers noted very few side effects.
https://www.secondopinionnewsletter.com/Health-Alert-Archive...
É certo que "groggy", é "grogue" literalmente, mas este adjectivo pode ter outro sentido, que é o estado de ressaca pela manhã causado por uma grande bebedeira, ou então o de "zonzo" pela acção de um grande golpe, como um soco ou murro.