Lohita means red colour and Aksha means eye. So, Lohitakshah means somebody whose eyes are red as in Lotus flower.
mada-vighūrṇita-locana īṣat māna-daḥ sva-suhṛdāḿ vana-mālī
badara-pāṇḍu-vadano mṛdu-gaṇḍaḿ maṇḍayan kanaka-kuṇḍala-lakṣmyā
yadu-patir dvirada-rāja-vihāro yāminī-patir ivaiṣa dinānte
mudita-vaktra upayāti durantaḿ mocayan vraja-gavāḿ dina-tāpam (SB 10.35.24-25)
As Krishna respectfully greets His well-wishing friends, His eyes roll slightly as if from intoxication. He wears a flower garland, and the beauty of His soft cheeks is accentuated by the brilliance of His golden earrings and the whiteness of His face, which has the color of a badara berry. With His cheerful face resembling the moon, lord of the night, the Lord of the Yadus moves with the grace of u regal elephant. Thus He returns in the evening, delivering the cows of Vraja from the heat of the day.
lilayitabhyam rasa-shitalabhyam , nilarunabhyam nayanambujabhyam |
alokayed adbhuta-vibhramabhyam , kale kada karunikah kishorah ||45|| (Sri Krishna Karnamrita Shloka 45)
When will that merciful Krishna, the icon of youthfulness, look upon me with His budding playful lotus eyes, cooling and soothing with rasa or divine love, reddish at the corners and bluish at the irises, dancing and flirting wonderfully.
It is a distinctive trait of this compassionate Youth, that His lotus eyes are huge because of playful dalliance ( lilayitabhyam ), soothing due to rasa or divine love, red and flirtatious due to intoxication (madvidhoornit lochan). These eyes are bluish red. There is bluishness in the centre portion of the eyes and redness in the bordering portion of the eyes. These remarkable roving eyes seem to be forever fickle like wagtails. The eyes are decorated with lampblack on the holy lotus face.
Srila Bilvamangala Thakur describes the beautiful eyes of the Lord. The Supreme Lord’s eyes are compared to the soft Lotus petals. So, they are described as red.
sa deva-devo bhagavān pratīkṣatāṁ kalevaraṁ yāvad idaṁ hinomy aham
prasanna-hāsāruṇa-locanollasan-mukhāmbujo dhyāna-pathaś catur-bhujaḥ (SB 1.9.24)
May my Lord, who is four-handed and whose beautifully decorated lotus face, with eyes as red as the rising sun, is smiling, kindly await me at that moment when I quit this material body.
Lets chant the Holy Name of this red coloured lotus eyed Lord and pray for these beautiful and attractive eyes to glance at us to instill pure devotion to serve Him.
Nama 59 – VishnuSahasranama