In recent years, by means of a method called VLBI — which applies the observation of quasars — and GPS, the absolute motion of tectonic plates has begun to be understood as well.

Literal

Recent-years [at-では], quasar [attributive-の] observation [object-を] applied VLBI [called-と呼ばれる] method [or-や] GPS [by-によって], plate [attributive-の] absolute motion [also-も] is-beginning-to-be-understood-[passive-始めている].

Scientific explanation. ~を応用する ('to apply X'). ~と呼ばれる ('called X, referred to as X'). ~始める ('begin to X') attached to the passive 理解される gives 'begin to be understood.' クエーサー is 'quasar' (quasi-stellar object). VLBI is Very Long Baseline Interferometry. プレート here is 'tectonic plate.' 絶対運動 ('absolute motion,' as opposed to relative).