Yes , the effectiveness of herb Brahmi ( Bacopa monnieri) and its usage is mentioned in Garuda Purana - Achara Kanda -Chapter 174 - These ayurvedic herb helps in improving intellect and memory.
Garuda Purana is mentioning a Ghrtam (Herbal Ghee) called Brahmi Gratham . The Garuda Purana is also providing us the method of preparation and formula of this Ghrtam as talk between Lord Dhanvantari And Sushruta.
धन्वतरिरुवाच । घृततैलादि वक्ष्यामि शृणु सुश्रुत रोगनुत् ।
शङ्खपुष्पी वचा सोमा ब्राह्मी ब्रह्मसुवर्चला ॥ 1.174.1 ॥
गुडूची च अटरूपकवागुजी ।
एतैरक्षसमैर्भागैर्घृतप्रस्थं विपाचयेत् ॥
Dhanvantari said- Here me , O Susruta, who art well conversant with
the nature of diseases , dicource on preparations and efficacies of
different medicinal oils and Ghrtas . Cook a Prastha measure of
clarified butter with the aksa measure of each of the following drugs
Viz. Shankhpushpi , Vaca , Soma , Brahmi , Suvarchala , Abhaya ,
Guduci , Ataru-Saka and Vaguci, in combination with prastha measure of
expressed juice of kantakari and the same quantity of milk.
कण्टकार्या रसप्रस्थक्षीरप्रस्थममन्वितम् ।
नाम श्रुतिमेधाकरं परम् ॥ 1. 174.3॥
पुनर्नवा गुडूची च बृहती च शतावरी ॥ 1.174.4 ॥
This Ghrtam is called Brahmi Ghrtam . It improves the intellect and memory . Cook a Ghrtam with Triphala ,Citrakam , vala , Nirgundi ,
Nimba ,Vasaka , Punarnava ,Guduci , the two kinds of Vrati and
Shatavari , or with as many of them as are available.
A similar description can also be found in Ayurvedic Granthas like Sushruta Samhita - Chapter XXVIII - Elixirs (rasayana) to improve memory and life span, where this medicinal herb Brahmi and its preparation called Brahmi Ghrtam a kind of Rasayana and benefits of both are mentioned.
He should then take the expressed juice of the Brahmi in an adequate
dose after consecrating the juice a thousand times with the proper
Mantras. After the medicine had been fully digested he should be
advised to take in the evening Yavagu (gruel) without any salt; or
with boiled milk in the event of his being habituated to its use. A
continuous use of the medicine for a week improves the memory, leads
to the expansion of the intellectual faculties and imparts a
celestical glow to the complexion.
Ashwagandha and Brahmi are more like medicinal herbs . Unlike Durva ,Tulsi Etc. these herbs are not used in worship of deities , in puja , but mostly used for medicinal effect these have on our mind and body.
In Rig-Veda mandala 10 -Sukta 97 - Oushadhi Sukta . These medicinal herbs are said to free us from our sin and all the medicinal herbs are revered well.
मुञ्चन्तु मा शपथ्यादथो वरुण्यादुत |
अथो यमस्यपड्बीशात सर्वस्माद
देवकिल्बिषात | | RV 10.97.16 ||
muñcantu mā śapathyādatho varuṇyāduta |
sarvasmād devakilbiṣāt ||
16 Release me from the curse's plague and woe that comes from Varuṇa;
Free me from Yama's fetter, from sin and offence against the Gods.
Although Ashwagandha and Brahmi are effective for all the people , but they are more important to Dwija Brahmacharis i.e. Unmarried Students who is either doing Veda-Adhyayana or general studies. Since these hearbs relieve stress, increase energy levels and improve concentration and memory , which are essential while student life.