Во втором тайме наша команда не забила ни одного гола, и матч закончился ничьей.

Russian sometimes uses во instead of в to make pronunciation easier, especially before awkward consonant clusters.
Here the next word starts with вт-: втором, so во втором is the normal form.

This is the same preposition в meaning in / during; the extra о is just for euphony.

It is the prepositional singular.

• второй тайм = base form
• во втором тайме = prepositional singular

After в / во meaning in or during, Russian often uses the prepositional case for location or time.
So во втором тайме means in the second half.

Both words change:

• второй → втором
• тайм → тайме

In sports Russian, тайм means a half or period of play.

In football:

• первый тайм = first half
• второй тайм = second half

It is a borrowing from English, but in Russian it is a normal sports word.

This is about aspect.

• забить = perfective
• забивать = imperfective

Here Russian uses не забила because it refers to a completed stretch of time and focuses on the result: during that half, the team failed to score.

не забивала would sound more like:

• repeated or habitual non-scoring
• an ongoing process
• background description rather than a completed match fact

In sports reports, не забила is the natural choice.

ни одного means not a single or not one.

Russian normally uses не with the verb and ни to reinforce the negation:

• не забила ни одного гола

This is normal Russian negative structure, not a mistake or an unnecessary double negative.
In English, double negatives are usually avoided, but in Russian they are standard.

Because here the phrase is the object of a negative verb.

The usual pattern is:

• не + verb + ни одного + genitive singular noun

So:

• не забила ни одного гола

Ни один гол is more natural when it is the subject of the sentence, for example:

• Ни один гол не был забит = Not a single goal was scored

So both patterns exist, but they are used in different sentence structures.

Because after ни одного, the noun is normally in the genitive singular:

• одного гола
• ни одного гола

So even though English says one goal, Russian uses the genitive form here.

This fits a very common Russian pattern with:

• quantity expressions
• negative expressions
• phrases like ни одного, много, мало, etc.

Because и is joining two full clauses, each with its own verb:

• наша команда не забила ни одного гола
• матч закончился ничьей

When и connects two independent clauses like this, a comma is normally used.

Because закончиться means to end, while закончить means to finish something.

Compare:

• команда закончила матч = the team finished the match
• матч закончился = the match ended

In this sentence, the match itself ended, so Russian uses the reflexive/intransitive form закончился.

Because it agrees with матч.

• матч is masculine singular
• past-tense verbs in Russian agree in gender and number

So:

• masculine singular → закончился
• feminine singular would be закончилась
• plural would be закончились

That is why the form is закончился.

It is the instrumental singular of ничья.

Russian often uses the instrumental after закончиться to say what something ended with / as:

• матч закончился ничьей

So the pattern is basically:

• закончиться чем? = to end in / with what?

Examples:

• разговор закончился ссорой = the conversation ended in a quarrel
• матч закончился ничьей = the match ended in a draw

In pronunciation, it is often ничьёй.

Russian spelling often leaves out the dots on ё, and writes е instead. So in normal texts you may see:

• ничьей

but it may be pronounced:

• ничьёй

This is very common in Russian. Learners often have to know from context or from a dictionary whether a written е is really ё in pronunciation.

Yes. Матч закончился вничью is also very common and means the same thing.

Russian has two natural ways to express this idea:

• матч закончился ничьей
• матч закончился вничью

Both are correct. The sentence you were given uses the instrumental noun pattern.

Yes, the word order is flexible.

Starting with Во втором тайме puts the time frame first, which is very natural in narration or reporting. But you could also say:

• Наша команда во втором тайме не забила ни одного гола...

The basic meaning stays the same. The difference is mainly in emphasis and flow. Russian often moves time expressions to the front to set the scene first.