Learn Farsi: گروه بی‌وقفه در راستای این هدف کار می‌کند. - The group works non-stop in accordance with this goal.

The word râstâ means direction, alignment, or axis. So dar râstâ-ye literally translates to in the direction of or in alignment with. It requires an ezâfe (the -ye suffix) to link it to the noun that follows, which in this case is in hadaf (this goal).

Could I just say barâ-ye in hadaf (for this goal) instead of using dar râstâ-ye?

Grammatically yes, but it changes the tone. Barâ-ye simply means for and is everyday vocabulary. Dar râstâ-ye belongs to a higher, more professional or journalistic register. It emphasizes a strategic, systematic alignment of actions toward the goal, rather than just doing something for it.

How is the word bi-vaghfeh formed?

It is made by combining the prefix bi- (without) and the noun vaghfeh (pause, interruption, or gap). Together, they form an adverb meaning non-stop, continuously, or relentlessly.

Why is bi-vaghfeh placed right after the subject goruh, and could it go elsewhere?

In Farsi, adverbs of manner are quite flexible in their placement. Putting the adverb immediately after the subject is very standard. However, you could also place it right before the verb to slightly shift the emphasis onto the continuous nature of the action: goruh dar râstâ-ye in hadaf bi-vaghfeh kâr mikonad. Both are correct and natural.