Εγκρίνεται εκταμίευση της επιχορήγησης υπό την προϋπόθεση ότι τελείωσε το έργο.

Because εγκρίνεται is the third-person singular present middle/passive form of εγκρίνω.

In this kind of official sentence, it usually means is approved rather than approves itself. Greek often uses this passive-style form in administrative language where English would also use a passive:

• Εγκρίνεται... = ...is approved
• Απορρίπτεται... = ...is rejected

So here the sentence is built in a formal, impersonal way.

The subject is εκταμίευση.

So grammatically the sentence is:

• Εγκρίνεται = is approved
• εκταμίευση = disbursement

That is why the verb is third-person singular: the subject is one singular noun.

In formal or bureaucratic Greek, abstract or administrative nouns are often used without the article, especially in headings, announcements, regulations, and official decisions.

So:

• Εγκρίνεται εκταμίευση... sounds official and document-like
• Εγκρίνεται η εκταμίευση... is also possible, but it sounds a bit more like you are referring to a specific, already identified disbursement

Both are grammatical. The version without the article is very typical in administrative style.

Because εκταμίευση commonly takes a genitive to show what is being disbursed.

So:

• εκταμίευση της επιχορήγησης = disbursement of the grant

This is a very common noun + genitive pattern in Greek. The genitive here works much like English of.

Also notice:

• επιχορήγηση is feminine singular
• so the genitive singular is της επιχορήγησης

Yes, it is definitely formal.

υπό την προϋπόθεση ότι means:

• on the condition that
• provided that
• under the condition that

It is a fixed expression often found in legal, administrative, or official writing.

In more everyday Greek, you are more likely to hear:

• με την προϋπόθεση ότι
• sometimes simply αν or εφόσον, depending on the exact meaning

So υπό την προϋπόθεση ότι sounds especially formal and bureaucratic.

Because ότι introduces a full clause.

Here the structure is:

• υπό την προϋπόθεση ότι
• followed by a complete statement: τελείωσε το έργο

So Greek is basically saying:

• under the condition that the project finished

This is normal after προϋπόθεση when the condition is expressed as a full clause.

τελείωσε is the aorist form of τελειώνω, third-person singular.

The aorist presents the action as a completed whole. Here it means that the project must have been completed for the disbursement to be approved.

So the idea is not ongoing completion, but a finished event:

• τελείωσε το έργο = the project finished / was completed

English may translate this in different ways depending on context:

• the project finished
• the project was completed
• the project has been completed

Greek often uses the aorist where English might prefer a present perfect.

Yes, it could.

Compare:

• τελείωσε το έργο = the project finished / was completed
• έχει τελειώσει το έργο = the project has finished / has been completed

The version with έχει τελειώσει emphasizes the current completed state a bit more. The aorist τελείωσε simply presents the completion as a fact.

In a very formal administrative context, many speakers might even prefer something like:

• έχει ολοκληρωθεί το έργο
• ολοκληρώθηκε το έργο

because ολοκληρώνω often sounds more natural and official than τελειώνω for a project.

Because Greek uses the definite article much more often than English.

Here το έργο refers to a specific project already known from the context. In official writing, that is very common.

So even where English might say simply the project only when necessary, Greek often naturally includes the article:

• το έργο
• η επιχορήγηση
• η εκταμίευση

The sentence does not say.

That is very common in official Greek. The passive or impersonal style lets the text focus on the decision itself, not on the person or institution making it.

So:

• Εγκρίνεται εκταμίευση... = Disbursement is approved...

If the writer wanted to name the authority, they could add it, for example:

• Εγκρίνεται από το Υπουργείο... = It is approved by the Ministry...

But official texts often leave the agent unstated because it is obvious from the document.

No, Greek word order is fairly flexible, especially in formal writing.

This sentence could also appear as:

• Η εκταμίευση της επιχορήγησης εγκρίνεται υπό την προϋπόθεση ότι τελείωσε το έργο.
• Υπό την προϋπόθεση ότι τελείωσε το έργο, εγκρίνεται εκταμίευση της επιχορήγησης.

The current order puts the approval action first, which suits official style well. Because Greek marks grammatical relationships with endings and articles, word order can be moved around more freely than in English.