Here is one approach that can be considered :
library(RSelenium)
library(rvest)
url <- "https://kotis.kt.gov.lt/"
shell('docker run -d -p 4445:4444 selenium/standalone-firefox')
remDr <- remoteDriver(remoteServerAddr = "localhost", port = 4445L, browserName = "firefox")
remDr$open()
remDr$navigate(url)
web_Obj <- remDr$findElement("css selector", "body > main > div.bg-light.p-3 > div > form > div.input-group.input-group-search > div.input-group-append.search-btn-wrapper > button")
web_Obj$clickElement()
web_Obj_Date1 <- remDr$findElement("xpath", '/html/body/main/div[1]/div/form/div[2]/div/div[1]/div[1]/div/input[1]')
web_Obj_Date1$clickElement()
web_Obj_Date2 <- remDr$findElement("xpath", '/html/body/div[1]/div[2]/div/div[2]/div/span[12]')
web_Obj_Date2$clickElement()
web_Obj_Submit <- remDr$findElement("css selector", '#listing-filter > div > div.text-right.link-group > button')
web_Obj_Submit$clickElement()
html_Content <- remDr$getPageSource()[[1]]
read_html(html_Content) %>% html_table()
[[1]]
# A tibble: 25 x 8
`Pagalbos gavejas` `Pagalbos teikejas` Pagalbos suteikim~1 Pagal~2 Teisi~3 Pagal~4 Busen~5 ``
<chr> <chr> <chr> <chr> <chr> <chr> <chr> <lgl>
1 "MB \"Šonulis\"" Socialines apsaugos ir darbo ministerija 2022-09-09 753,48~ "VSF2" Bendro~ Rezerv~ NA
2 "UAB \"Cargorest\"" Socialines apsaugos ir darbo ministerija 2022-09-09 1.596,~ "VSF2" Bendro~ Rezerv~ NA
3 "Tautvydas Kizinis" Žemes ukio ministerija 2022-09-09 149,10~ "LR že~ Nereik~ Iregis~ NA
4 "Vytautas Juozas Petkus" Žemes ukio ministerija 2022-09-09 953,82~ "LR že~ Nereik~ Iregis~ NA
5 "Donatas Malinauskas" Žemes ukio ministerija 2022-09-09 806,17~ "LR že~ Nereik~ Iregis~ NA
6 "Dangute Malinauskiene" Žemes ukio ministerija 2022-09-09 640,36~ "LR že~ Nereik~ Iregis~ NA
7 "Darius Malinauskas" Žemes ukio ministerija 2022-09-09 676,33~ "LR že~ Nereik~ Iregis~ NA
8 "Vaidas Paunksnis" Valstybinio socialinio draudimo fondo valdybos Kauno skyrius 2022-09-09 83,63 ~ "1991 ~ Nereik~ Iregis~ NA
9 "Tadas Pocius" Žemes ukio ministerija 2022-09-09 42,05 ~ "Jurba~ Valsty~ Iregis~ NA
10 "Rytis Andriulaitis" Žemes ukio ministerija 2022-09-09 762,84~ "Jurba~ Valsty~ Iregis~ NA
# ... with 15 more rows, and abbreviated variable names 1: `Pagalbos suteikimo data`, 2: `Pagalbos suma`, 3: `Teisinis pagrindas`,
# 4: `Pagalbos rušis`, 5: `Busena`
# i Use `print(n = ...)` to see more rows