Κουβαλάω δύο βαριές σακούλες, γι’ αυτό άσε με να ανοίξω πρώτα την πόρτα με τον ώμο.

Both are correct. Κουβαλάω and κουβαλώ are two common present-tense forms of the same verb, meaning I carry.

• κουβαλάω is very common in everyday speech
• κουβαλώ is also standard and often feels a bit more compact

So Κουβαλάω δύο βαριές σακούλες simply means I’m carrying two heavy bags.

Because both βαριές and σακούλες have to agree with each other.

• σακούλα = bag, feminine singular
• σακούλες = bags, feminine plural
• βαρύς / βαριά / βαρύ = heavy

Here we need the feminine plural accusative form of the adjective, because σακούλες is feminine plural and it is the direct object of κουβαλάω.

So:

• βαριά σακούλα = a heavy bag
• βαριές σακούλες = heavy bags

In Modern Greek, δύο is invariable. It stays the same no matter the gender or case of the noun.

So you get:

• δύο σακούλες
• δύο πόρτες
• δύο βιβλία

The number itself does not change.

γι’ αυτό means for this reason, that’s why, or so.

It is a shortened form of για αυτό. In normal speech and writing, Greek often contracts this to γι’ αυτό.

So:

• Κουβαλάω δύο βαριές σακούλες, γι’ αυτό... = I’m carrying two heavy bags, so...

It introduces the result or consequence of what was just said.

Άσε με literally means leave me, but in this kind of sentence it means let me.

• άσε = leave, let
• με = me

So άσε με να ανοίξω... means let me open...

This is a very common Greek pattern:

• άσε με να δω = let me see
• άσε με να μιλήσω = let me speak

Because με is the direct object form, while μου usually means to me or my.

In άσε με:

• άσε takes a direct object
• the person being allowed is treated grammatically as that object

So:

• άσε με = let me
• άσε τον = let him
• άσε μας = let us

Using μου here would be wrong.

Because Greek usually uses the aorist subjunctive after να when talking about a single complete action.

Here, opening the door is seen as one whole event:

• να ανοίξω = to open / that I open, as a complete act

If you said να ανοίγω, it would suggest something repeated, ongoing, or habitual, which does not fit this situation.

So:

• άσε με να ανοίξω την πόρτα = let me open the door

This is one of the most important aspect contrasts in Greek:

• να + aorist stem = one complete action
• να + present stem = ongoing or repeated action

Yes, very common. It is one of the basic ways to say let me do something.

Pattern:

• άσε + object pronoun + να + verb

Examples:

• Άσε με να φύγω = Let me leave
• Άσε τον να μιλήσει = Let him speak
• Άσε μας να περάσουμε = Let us pass

So this sentence uses a very natural everyday structure.

Πρώτα means first. Its position is flexible, but here it naturally modifies the action να ανοίξω.

So να ανοίξω πρώτα την πόρτα means:

• to open the door first

You could also hear slightly different word orders, for example:

• άσε με πρώτα να ανοίξω την πόρτα
• άσε με να ανοίξω την πόρτα πρώτα

They are all possible, with small differences in emphasis.

Greek uses the definite article much more regularly than English.

Here την πόρτα means the door, and it sounds natural because both speakers know which door is meant.

Greek often prefers the article in situations where English might also use it, but Greek is generally more consistent about including it.

So:

• ανοίξω την πόρτα = open the door

Leaving out the article here would sound unnatural.

Because με means with, and τον ώμο is the accusative singular form of ο ώμος = the shoulder.

Breakdown:

• με = with
• ο ώμος = the shoulder
• τον ώμο = the shoulder, accusative

After με, Greek uses the accusative:

• με το χέρι = with the hand
• με το πόδι = with the foot
• με τον ώμο = with the shoulder

Because masculine nouns often change form in the accusative singular.

Here:

• nominative: ο ώμος
• accusative: τον ώμο

This is very common with masculine nouns ending in -ος:

• ο δρόμος → τον δρόμο
• ο φίλος → τον φίλο
• ο ώμος → τον ώμο

So the sentence is following a normal case pattern.

Not naturally in this exact meaning. Με τον ώμο is the normal way to say with my shoulder or using my shoulder to push/open something.

Greek often uses the definite article with body parts where English may prefer a possessive:

• με τον ώμο = with the shoulder / with my shoulder
• σήκωσε το χέρι = he raised his hand
• γύρισε το κεφάλι = she turned her head

So με τον ώμο is the idiomatic choice here.

Yes, very natural.

The sentence flows like this:

• Κουβαλάω δύο βαριές σακούλες = statement of the situation
• γι’ αυτό = consequence
• άσε με να ανοίξω πρώτα την πόρτα = request based on that situation
• με τον ώμο = how the action will be done

Greek word order is flexible, but this version sounds completely normal and conversational.