What does Ū̆crāīna mean in Latin?

Ū̆crāīna, a proper noun, means “Ukraine (a country in Eastern Europe, bordering on the north shore of the Black Sea)”.

What is the genitive of Ū̆crāīna?

The genitive singular is Ū̆crāīnae. Ū̆crāīna is feminine, first declension.

In classical Latin, [uː.kraːˈiː.na]; in ecclesiastical (church) Latin, [u.kraˈiː.na].

proper noun · femininefirst declension

Ū̆crāīna f sg (genitive Ū̆crāīnae)

Classical[uː.kraːˈiː.na]Ecclesiastical[u.kraˈiː.na]

New LatinUkraine (a country in Eastern Europe, bordering on the north shore of the Black Sea)
Religionem in Ucraina oportet esse solam et unam Orthodoxae Orientalis Confessionis, [...]Religion in Ukraine ought to be united in the sole profession of Eastern Orthodoxy.1710 April 5, Philippus Orlik, chapter I, in Contenta Pactorum inter Ducem et Exercitum Zaporoviensem conventorum, in Compendium brevi stylo collecta., Bendery, archived from the original on 09 Apr 2022:

Borrowed from Old Ruthenian Оукраи́на (Ukraína, “Ukraine”)