Due to very much significance/influence of Brahmanas (ब्राह्मणग्रन्थ), it is considered as the part of Veda and hence classified as Shruti. Sayanacharya in his Bhashya on Rigveda, said that मंत्र ब्राह्मणात्मको वेद which means Mantra(मंत्र) and Brahmanatmak(ब्राह्मणात्मक) combined forms Veda. मन्त्रब्राह्मणयोर्वेदनामधेयम् (From Aapstamb Srauta Sutra) means Mantra as well as Brahmana parts are Veda.
Brahmanas constitutes Aaranyaka (आरण्यक) at the end and Aaranyaka constitues Upanishads(उपनिषद्) at the end. In other words, Aaranyaka are extracted from Brahmanas and Upanishads are extracted from Aaranyaka (except from Isha Upanishad which is the last part of Shulka Yajurveda Samhita). So, Vedas are generally classified into to 1.Samhita 2.Brahmana 3.Aaranyaka 4.Upanishad
Hence Four Vedas i.e Rigveda, Samaveda, Yajurveda and Athrvaveda with Samhita, Brahmana, Aaranyaka & Upanishad are Shruti texts.
Smriti(स्मृति,2) means which is remembered or which is based upon memory. In other words, which is produced out of human intellect.
These are texts written/composed by Rishi and handed down by tradition. So, in contrast to Shruti which is authorless (divine origin), Smriti is derivative work (produced out of intellect) that is usually attributed to an author. Smriti texts are written on the basis of or inspired by Shruti but given less importance/supremacy than Shruti.
Major Smriti scriptures are: Vedang(वेदाङ्ग), Upaveda(उपवेद), Upang(उपांग), Dharma-Sutra/Shstra(धर्मसूत्र) [including popular Smriti scriptures by sage Manu, Yajnavalkya, Narad, Parasar etc.] and other Sutras, 18 Purans(पुराण), Itihasa i.e Ramayana, Mahabharata (Bhagavad Gita) etc., Commentaries(भाष्य) on various Shruti texts by Aacharyas including Brahma Sutra etc. and various scriptures on Darshan Shastra (Sankhya,Yoga, Vaisheshika, Mimamsa, Nyaya etc.)
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