Govardhan Math
Amnaya -Purba
Sampradaya- Bhogabaara
Titles of Sannyasins- Vana & Aranya
Titles of Brahmacharins- Prakash
Kshetra- Puridham
6.Devata- Jagannath
7.Devi- Vimala
8.Acharya- Padmacharyya
9.Teertha- Samudra
10.Veda- Rigveda
Mahavakya- Prajnanam Brahma
Gotra- Kashyapa
Areas under this Math- Anga(Assam), Banga, Kalinga, Magadh (Southern Bihar) and Utkal(Odissa)
Sarada Math
Amnaya- Paschima
Sampradaya- Keetavara
Titles of Sannyasins- Tirtha & Ashrama
Titles of Brahmacharins- Swarup
Kshetra- Dwaraka
6.Devata- Siddheswar
7.Devi- Bhadrakali
8.Acharya- Hastaamalaka
9.Teertha- Gomati
10.Veda- Saamaveda
Mahavakya- Tat Tvam Asi
Gotra- Abigata
Areas under this Math- Sindhu(Punjab),Sauvir, Saurastra (Surat), Maharastra
Jyotirmath
Amnaya- Uttara
Sampradaya- Anandavara
Titles of Sannyasins- Giri, Parvata & Sagara
Titles of Brahmacharins- Ananda
Kshetra- Badrikashrama
6.Devata- Narayana
7.Devi- Purnagiri
8.Acharya- Totakacharya
9.Teertha- Alakaananda
10.Veda- Atharva
Mahavakya- Ayam Aatmaa Brahma
Gotra- Bhrigu
Areas under this Math- Kuru (Hariyana), Kashmir,Kamvoja,Panchaala(Punjab-Himachal)
Sringeri Math
Amnaya- Dakshina
Sampradaya- Bhuribaara
Titles of Sannyasins- Saraswati, Bharati & Puri
Titles of Brahmacharins- Chaitanya
Kshetra- Rameswara
6.Devata- Adi- Varaha
7.Devi- Kamakshi
8.Acharya- Sureswaracharya
9.Teertha- Tungabhadra
10.Veda- Yajur
Mahavakya- Aham Brahmaasmi
Gotra- Bhurbuvah
Areas under this Math- Andhra, Dravira, Kerala, Karnataka
Reference : Hariyana ki Vedanta-Parampara Aur Baba Totapuri, Vaidya Banamali Dutta Sharma, Published by Dhruva Sharma 1986, page 165-168
Addition:
The word "Bhoga-Vaara" comes because this sect is designed to protect (Nivaarana/Vaarana) people from thirst of "Bhoga" and show them right direction.
The word "Keeta-Vaara" comes because this sect is designed to protect everybody, even the Keetas by showering mercy.
The word "Ananda-Vaara" comes because this sect is designed to protect (Nivaarana/Vaarana) people from Ananda of "Vilasa" and show them right direction.
The word "Bhuri-Vaara" comes because this sect is designed to protect (Nivaarana/Vaarana) people from thirst of "Bhuri-Vastus" like gold etc and show them right direction. (Ref. Ibid page 165-168).
From the reference book, I provided many additional informations (like gotras, upadhis of brahmacharins and areas of control)in the list given which were not there in the link provided in the question.