この機械が

this machine

→ 此の
phrase Rare #33,465
this machine この機械 means “this machine,” and が marks it as the subject of the sentence. The ending が does not form a special expression with この機械; its translation depends on the rest of the sentence.
JA: この機械が新しいです。
EN: This machine is new.

この機械が動かないんだ

This machine isn't working.

この機械がどのようにして動く実際に説明しましょう

Let's actually explain how this machine works.

この機械が使えないのです

I can't use this machine.

この機械がうまく動くかどうかは疑わしい

It's doubtful whether this machine will work properly.

この機械がどのように動く説明できますか

Can you explain how this machine works?