From many sources we come to know that Gaudiya Vaishnava Sampradaya is like a branch of Madhva siddhanta. Hence it is natural that he had high regards for Sri Madhvacharya. Even Prabhupada has glofified Sri Madhwa in many places. In Chaitanya Charitamrita also there are various mentions of Sri Madhva:
In Udupi, Madhvacharya installed a beautiful Deity of Gopala
standing alone holding a cowherding stick. This Deity manifested from
within a chunk of gopi-candana (sacred clay). He established eight
mathas (Temples) to lovingly serve "Udupi Krishna." The sannyasi
leaders of each matha worship the Krishna Deity with a rigorous
regimen of ceremonial ritual, punctuality, and impec-cable personal
conduct. Every Ekadashi they observe nirjala (total fast all food and
water).
The Gaudiya Vaishnava sampradaya originates with the Madhvas. Shri
Chaitanya Mahaprabhu and His followers thoroughly studied Madhva's
works before compiling their philosophy. For the Sat Sandarbhas Shri
Jiva Goswami drew heavily from Madhva's writings. Jiva Goswami found
'the Gaudiya philosophy of acintya-bheda-abheda tattva in Madhva's
Bhagavat-parya. Shri Chaitanya Himself visited Udupi, the seat of
Madhva's sect. The Lord introduced Hari Nama sankirtana into their
sect.
The Madhvas and Gaudiyas share many of the same philosophical points.
Both consider it necessary to surrender to the lotus feet of the guru
(gurupadashraya). In Sutra Bhasya, Madhvacharya cites the Brihat
Tantra and Mahasamhita to show that a disciple may reject a "bogus
guru" who proves to be useless. He may then accept another qualified
self-realized person as his guru.
In Prameya-ratnavalli, Shri Baladeva Vidyabhushana summarized the
nine principles common to both Shri Chaitanya's and Madhva's
teachings. In Vaishnava Siddhanta Mala, Shrila Bhaktivinoda Thakura
says Shri Chaitanya Mahaprabhu ordered all Gaudiya Vaishnavas to
carefully observe the nine instructions of truth given by Shri
Madhavacharya through our guru parampara.
Source
Sri Madhavendra Puri is one of the acharyas in the disciplic
succession from Madhvacharya. Madhavendra Puri had two principal
disciples, Ishvara Puri and Sri Advaita Prabhu. Therefore the Gaudiya
Vaishnava-sampradaya is a disciplic succession from Madhvacharya.
This fact has been accepted in the authorized books known as
Gaura-ganoddesa-dipika and Prameya-ratnavali, as well as by Gopal Guru
Goswami. The Gaura-ganoddesa-dipika clearly states the disciplic
succession of the Gaudiya Vaishnavas as follows:
"Lord Brahma is the direct disciple of Vishnu, the Lord of the
spiritual sky. His disciple is Narada, Narada's disciple is Vyasa, and
Vyasa's disciples are Sukadev Goswami and Madhvacharya. Padmanabha
Acharya is the disciple of Madhvacharya, and Narahari is the disciple
of Padmanabha Acharya. Madhava is the disciple of Narahari, Akshobhya
is the direct disciple of Madhava, and Jayatirtha is the disciple of
Akshobhya.
"Jayatirtha's disciple is Jnanasindhu, and his disciple is Mahanidhi.
Vidyanidhi is the disciple of Mahanidhi, and Rajendra is the disciple
of Vidyanidhi. Jayadharma is the disciple of Rajendra. Purushottama is
the disciple of Jayadharma. Sriman Lakshmipati is the disciple of
Vyasatirtha, who is the disciple of Purushottama. And Madhavendra Puri
is the disciple of Lakshmipati."
Source
Shri Madhvacharya's Nine Teachings
(1) Bhagavan Shri Krishna alone is the Supreme Absolute Truth, one
without a second.
(2) He is the object of knowledge in all the Vedas.
(3) The universe is real, satya.
(4) The differences between Ishvara (God), Jiva (soul) and Matter are real.
(5) Jiva souls are by nature the servants of the Supreme Lord Hari.
(6) There are two categories of jivas; liberated and illusioned.
(7) Liberation (moksha) means attainmg the lotus feet of Bhagavan
Krishna, in other words, entering an eternal relationship of service
to the Supreme Lord.
(8) Pure devotional service to Krishna is the only way to attain his liberation.
(9) The truth may be known by pratyaksha (direct perception), anuman (inference or logic), sabda (spiritual sound or Vedic
authority.
Shri Madhvacharya serves as Madhavi-gopi in Radha-Govinda's eternal Vrindavana pleasure pastimes.
Source