Badan penaja menawarkan tajaan penuh.

Yes—badan literally can mean body, but in formal Malay it also often means a body, organization, agency, or institution.

So badan penaja means something like:

• sponsoring body
• sponsoring organization
• sponsoring agency

It sounds more formal than just saying penaja on its own.

Because in Malay, the main noun usually comes first, and words that describe it come after it.

So:

• badan penaja = sponsoring body
  • main noun: badan
  • modifier: penaja

This is a very common Malay pattern. Compare:

• rumah besar = big house
• kereta baharu = new car

Malay does not usually put the modifier before the noun the way English often does.

Menawarkan means to offer.

In this sentence, it means the sponsoring body offers or is offering full sponsorship.

So the structure is:

• Badan penaja = subject
• menawarkan = verb
• tajaan penuh = object

This gives the basic word order:

Subject + Verb + Object

It comes from the root tawar in the sense of offer.

Then Malay adds:

• meN- → active verb prefix
• -kan → often makes the verb take an object more clearly

So:

• tawar → offer
• menawarkan → to offer something

Here, the thing being offered is tajaan penuh.

They are related, but they are not the same part of speech.

• penaja = sponsor / the sponsoring party
• tajaan = sponsorship

So in this sentence:

• badan penaja = the sponsor / sponsoring body
• tajaan penuh = full sponsorship

A useful way to remember it:

• peN- often forms the doer/person/agent
• -an often forms a thing/result/concept

So:

• penaja = the one who sponsors
• tajaan = the sponsorship being given

Because the meaning is slightly different.

• menawarkan tajaan penuh = to offer full sponsorship
• menaja = to sponsor

Using menawarkan emphasizes that the organization is making sponsorship available or presenting it as an offer.

Using menaja would emphasize the act of actually sponsoring.

For example:

• Badan penaja menawarkan tajaan penuh.
  = The sponsoring body offers full sponsorship.

• Badan itu menaja peserta tersebut.
  = That body sponsors that participant.

Because adjectives usually come after the noun in Malay.

So:

• tajaan penuh = full sponsorship
  • tajaan = sponsorship
  • penuh = full

This is the normal Malay order:

• rumah besar = big house
• bantuan penuh = full assistance
• tajaan penuh = full sponsorship

Malay usually does not use articles like the or a/an.

So Badan penaja could mean:

• the sponsoring body
• a sponsoring body

Which one sounds best depends on context.

Malay often leaves this unstated unless the speaker wants to make it specific in some other way, such as:

• badan penaja itu = that/the sponsoring body

Malay verbs usually do not change form for tense the way English verbs do.

So menawarkan can mean different things depending on context:

• offers
• is offering
• will offer

The time is usually understood from context or added with time words, for example:

• kini menawarkan = is now offering
• akan menawarkan = will offer
• semalam menawarkan = offered yesterday

Without extra context, English translators often choose offers.

By itself, it is usually understood as singular here.

Malay nouns generally do not have different singular and plural forms the way English does. Number is often understood from context.

So:

• badan penaja = sponsor body / sponsoring body
• could be interpreted as singular in this sentence

If Malay wants to show plurality clearly, it can do so with context, numbers, or reduplication, though that would not normally be used here.

Yes, it sounds fairly formal and institutional.

You might see wording like this in:

• scholarship announcements
• event information
• official websites
• brochures
• application materials

The word badan especially gives it a more official tone.

Yes. Some possible alternatives are:

• Penaja itu menawarkan tajaan penuh.
  = That sponsor offers full sponsorship.

• Organisasi penaja menawarkan tajaan penuh.
  = The sponsoring organization offers full sponsorship.

• Badan itu menaja sepenuhnya.
  = That body sponsors fully.

• Badan penaja menyediakan tajaan penuh.
  = The sponsoring body provides full sponsorship.

Each version has a slightly different nuance, but they are all natural in the right context.