Yes
The Shadow Magic sorcerer's Eyes of the Dark feature makes no special mention of components, therefore they must be provided as normal.
[...] [Y]ou learn the darkness spell, which doesn't count against your number of sorcerer spells known. In addition, you can cast it by spending 2 sorcery points or by expending a spell slot. If you cast it with sorcery points, you can see through the darkness created by the spell.
--- Xanathar's Guide to Everything, p. 51
As darkness is a sorcerer spell you are eligible to use use your arcane focus for the casting, assuming you use one. No need to carry around bat fur and pitch, unless you like doing that, which as a Shadow Sorcerer you well might.
As a comparison, Shadow Monks get at 6th level the ability to cast darkness using 2 ki points, but don't need to provide material components. They don't get to use spell slots though for obvious reasons.
As an action, you can spend 2 ki points to cast darkness,
darkvision, pass without trace, or silence, without
providing material components.
--- Player's Handbook, p. 80