La cofinanciación aparece en el presupuesto desglosado.

Because Spanish nouns have grammatical gender.

• cofinanciación is a feminine noun, so it takes la
• presupuesto is a masculine noun, so it takes el

This gender is grammatical, not about biological sex. You usually just have to learn the noun together with its article:

• la cofinanciación
• el presupuesto

Also, nouns ending in -ción are very often feminine, so cofinanciación follows a very common pattern.

Aparece literally means appears.

In this kind of administrative or formal sentence, aparece en is commonly used to mean something like:

• is shown in
• appears in
• is listed in

So La cofinanciación aparece en el presupuesto desglosado means that the co-financing is included or shown in the itemized budget.

Why not está?

• está en el presupuesto = it is in the budget
• aparece en el presupuesto = it appears / is shown / is listed in the budget

Aparece sounds a bit more natural when talking about information that can be found in a document.

Aparece is:

• present tense
• third person singular
• from the verb aparecer

Here, the subject is la cofinanciación, which is singular, so the verb is singular too:

• La cofinanciación aparece

Other forms of aparecer in the present:

• yo aparezco
• tú apareces
• él/ella aparece
• nosotros aparecemos
• vosotros aparecéis
• ellos/ellas aparecen

Notice the irregular yo form: aparezco.

Because desglosado describes presupuesto, not cofinanciación.

• presupuesto is masculine singular
• so the adjective must also be masculine singular: desglosado

This is adjective agreement.

So:

• el presupuesto desglosado
• not el presupuesto desglosada

If the noun were feminine, then the adjective would change:

• la cuenta desglosada
• la información desglosada

Desglosado means something like:

• broken down
• itemized
• detailed
• shown in separate parts

In a financial or administrative context, presupuesto desglosado usually means an itemized budget or detailed budget, where the different costs or categories are listed separately.

It comes from the verb desglosar, which means to break down or to itemize.

Yes, somewhat. The most neutral order is:

• La cofinanciación aparece en el presupuesto desglosado.

But Spanish can sometimes move parts around for emphasis. For example:

• En el presupuesto desglosado aparece la cofinanciación.

This version puts more focus on where it appears.

Both are grammatically correct, but the original sentence sounds more neutral and standard, especially in formal writing.

Because there is no direct object referring to a person.

The personal a is used before specific human direct objects, for example:

• Veo a María

But in your sentence:

• La cofinanciación is the subject
• aparece is the verb
• en el presupuesto desglosado is a prepositional phrase of location

So there is no reason to use the personal a.

A helpful approximate pronunciation is:

co-fi-nan-cia-CIÓN

The stress is on the final syllable -ción, because of the written accent: ó.

Roughly:

• co as in co-
• fi as fee
• nan as nan
• cia like thya in much of Spain, or sya in Latin America
• ción like thyón in much of Spain, or syón elsewhere

In Spain, many speakers pronounce ci as a th sound, so financiación often sounds closer to:

fi-nan-thia-CIÓN

It has an accent mark because the stress falls on the last syllable:

• cofinanciación

Words ending in n, s, or a vowel are normally stressed on the second-to-last syllable unless there is a written accent.

Without the accent, Spanish spelling rules would suggest a different stress pattern. The accent mark tells you clearly that the stressed syllable is -ción.

This is very common with nouns ending in -ción:

• información
• organización
• financiación
• cofinanciación

Yes, it sounds fairly formal and administrative.

Words like:

• cofinanciación
• presupuesto
• desglosado

are common in business, public administration, reports, grant applications, and institutional documents.

In everyday conversation, a person might say something simpler depending on context, but in official writing this sentence sounds natural.

Yes, you could, and it would be understandable.

But there is a nuance:

• está en = is in
• aparece en = appears in / is shown in / is listed in

If you are talking about information included in a document, aparece en often sounds more precise and natural.

So:

• Está en el presupuesto = more general
• Aparece en el presupuesto = more document-based, more like it is shown there

In formal written Spanish, aparece is often the better choice.