Моя сестра не любить підмітати, але завжди приносить суху швабру.

Because сестра is a feminine singular noun, and мій must agree with it in gender, number, and case.

In the nominative singular:

• мій = masculine
• моя = feminine
• моє = neuter
• мої = plural

So:

• мій брат = my brother
• моя сестра = my sister

The verb любити can mean both to love and to like, depending on context.

When it is followed by an infinitive, as in любить підмітати, it usually means to like doing something or to enjoy doing something.

So:

• любить сестру = loves his/her sister
• любить читати = likes reading
• не любить підмітати = doesn’t like sweeping

Любити is the infinitive meaning to like / to love.

In the sentence, we need a conjugated verb because the subject is моя сестра = my sister / she. The correct 3rd person singular form is любить.

A few forms of любити:

• я люблю = I like/love
• ти любиш = you like/love
• вона любить = she likes/loves

So Моя сестра не любить... means My sister does not like...

After любить, Ukrainian normally uses the infinitive to say that someone likes or doesn’t like doing an action.

So the pattern is:

любити + infinitive

Examples:

• любить читати = likes to read
• любить готувати = likes to cook
• не любить підмітати = doesn’t like to sweep

This works very much like English likes to sweep, though in English you can also say likes sweeping.

In Ukrainian, не is usually written as a separate word with verbs.

So:

• не любить = does not like
• не знає = does not know
• не хоче = does not want

That is the normal rule here. So не любить is the expected spelling.

Ukrainian often omits subject pronouns when the subject is already clear from context.

So instead of saying:

Моя сестра не любить підмітати, але вона завжди приносить суху швабру

it is very natural to say:

Моя сестра не любить підмітати, але завжди приносить суху швабру

The subject is still understood as my sister. Adding вона is possible, but it is less neutral and can sound more emphatic.

Приносить is the imperfective present form, and it fits well with завжди because the sentence describes a habitual, repeated action.

• завжди приносить = always brings

If you used принесе, that would usually mean will bring once, as a future completed action:

• вона принесе = she will bring

So with завжди, приносить is the natural choice.

Because суху швабру is the accusative singular, used here for the direct object of приносить.

The noun швабра is feminine, and many feminine nouns ending in -а change to -у in the accusative singular:

• nominative: суха швабра
• accusative: суху швабру

The adjective must agree with the noun, so both words change:

• суха → суху
• швабра → швабру

This is the same pattern as:

• я бачу нову книгу = I see a new book
• вона приносить суху швабру = she brings a dry mop

Because але means but, and in Ukrainian it normally takes a comma when it joins two clauses.

So:

• Моя сестра не любить підмітати, але завжди приносить суху швабру.

This is very similar to English punctuation with but.

Yes. Ukrainian word order is fairly flexible, and завжди can move depending on emphasis.

The version in the sentence is neutral:

• але завжди приносить суху швабру

You could also hear:

• але приносить суху швабру завжди
• але суху швабру завжди приносить

But those alternatives change the focus a little. The original order is the most natural, neutral one for a learner.

It is grammatically correct, but the vocabulary combination is a little unusual.

Why? Because:

• підмітати usually means to sweep
• швабра means mop

People more often sweep with a broom (віник) and mop with a швабра.

So the sentence is understandable, especially if you imagine a dry mop, but it sounds a bit less typical than, for example:

• не любить підмітати, але завжди приносить віник = doesn’t like sweeping, but always brings a broom
• не любить мити підлогу, але завжди приносить швабру = doesn’t like mopping the floor, but always brings a mop

So this is more a vocabulary/style point than a grammar problem.