This character is a Nonspacing Mark and inherits its script property from the preceding character.
The glyph is not a composition. Its width in East Asian texts is determined by its context. It can be displayed wide or narrow. In bidirectional text it acts as Nonspacing Mark. When changing direction it is not mirrored. U+030F prohibits a line break before it.
The Wikipedia has the following information about this codepoint:
The double grave accent (◌̏) is a diacritic used in scholarly discussions of the Serbo-Croatian and sometimes Slovene languages. It is also used in the International Phonetic Alphabet.
In Serbo-Croatian and Slovenian, double grave accent is used to indicate a short falling tone, though in discussion of Slovenian, a single grave accent is also often used for this purpose. The double grave accent is found in both Latin and Cyrillic; however, it is not used in the everyday orthography of any language, only in discussions of phonology.
In the International Phonetic Alphabet, the double grave accent is used to indicate extra-low tone.
The letters a, e, i, o, r, u, and their Cyrillic equivalents а, е, и, о, р, and у can all be found with the double grave accent. Unicode provides precomposed characters for the uppercase and the lowercase Latin letters but not the Cyrillic letters. The Cyrillic letters can be formed using the combining character for the double grave, which is located at U+030F. The combining character can also be used with IPA vowel symbols, if necessary.