Echipa de proiect face cunoștință cu colegul.

Yes. A face cunoștință cu cineva is a set Romanian expression meaning to meet someone / to become acquainted with someone.

Literally, the pieces look like:

• a face = to make / to do
• cunoștință = acquaintance / knowledge
• cu = with

But you should learn face cunoștință cu as one unit, not translate it word for word every time.

Because the idiom normally uses the singular: a face cunoștință cu.

So in this expression, Romanian says cunoștință, not cunoștințe.

That can feel strange if you know that cunoștințe can mean acquaintances or knowledge, but in this particular phrase the singular is the standard form.

Because in this idiom, cunoștință appears as a bare noun.

So you say:

• face cunoștință cu colegul

not normally:

• face o cunoștință cu colegul in this meaning

This is common in Romanian fixed expressions: the noun stays without an article because the whole phrase functions like one verbal unit.

Because echipa is grammatically singular.

Even though a team contains many people, Romanian makes the verb agree with the noun echipa, and echipa is singular feminine. So:

• echipa face = the team meets / gets acquainted

If the subject were plural, the verb would be plural too:

• colegii fac cunoștință = the colleagues meet / get acquainted

Here, echipa means the team.

The base noun is:

• echipă = a team

The definite form is:

• echipa = the team

So yes, that final -a is the definite article attached to the end of the noun, which is very typical in Romanian.

De proiect means something like for the project or project- in English.

So:

• echipa de proiect = the project team

Romanian often uses de + noun where English uses a noun as an adjective:

• project team
• office chair
• training program

So de proiect is describing what kind of team it is.

Because colegul means the colleague, while coleg means a colleague.

Compare:

• coleg = colleague / a colleague
• colegul = the colleague

The sentence uses the definite form, so it refers to a specific colleague, probably someone already known from the context.

The expression requires cu:

• a face cunoștință cu cineva = to meet / get acquainted with someone

So cu colegul is required by the idiom.

As for pe: Romanian uses pe mainly with animate direct objects. But here colegul is not a direct object; it is the object of the preposition cu. That is why you say:

• cu colegul

not:

• pe colegul

This is the most neutral, standard order:

• Echipa de proiect face cunoștință cu colegul.

Romanian word order is fairly flexible, so other orders are possible for emphasis, but this version is the safest one for learners.

For example, you might hear a different order in context for stylistic reasons, but the basic pattern is:

• subject + verb + expression + prepositional phrase

The trickiest word is cunoștință.

A rough English-friendly guide is:

• cu-noș-TIN-ță
• approximately koo-nosh-TSEEN-tsuh

Useful letter values from this sentence:

• ș = sh sound, as in ship
• ț = ts sound, as in cats
• ă = a short neutral vowel, like uh

A rough pronunciation of the whole sentence could be:

• eh-KEE-pa de pro-IEKT FA-che cu-nosh-TSEEN-tsuh koo ko-LE-gul

That is only an approximation, but it is a good starting point.