the term is "Kaiten-Zushi", a sushi restaurant where a plate of sushi is placed on a rotating conveyor belt that moves through the restaurant, passing each table and seat. Customers often can request special orders.
Unfortunately searching for "kaiten zushi Lietuvoje" nor for "Kaiten-Sushi in Lithuania" didn't come up with any significant result.
the closest Sushi Train (Kaiten-Zushi) restaurant listing I found was https://restaurantguru.com/Sushi-King-Vilnius-5#gallery, which seems to be a buffet-table style belt. (Sushi King, Kalvarijų Street, 149, Vilnius.)
When researching to answer your questions, I found some inspiring sites, with more information on some "traditional" Sushi places.
Lithuanian: Use automatic translation if needed: