Я не помню, видела ли я где-либо эту сумку раньше.

Because Russian past-tense verbs agree with the speaker’s or subject’s gender in the singular.

• видела = feminine
• видел = masculine
• видело = neuter

So this sentence suggests the speaker is female. A male speaker would say:

Я не помню, видел ли я где-либо эту сумку раньше.

Ли marks an indirect yes/no question. In English, this is often translated as whether or sometimes if.

So:

• видела ли я = whether I had seen / if I had seen

It does not mean or or really or anything like that here. It simply turns the clause into an indirect question.

Ли usually comes after the word that is being questioned or focused. In this sentence, the questioned idea is whether I saw / had seen, so ли follows the verb:

• видела ли я

This is the most normal placement here.

A useful thing to remember: ли is not usually placed at the very beginning of the clause.

Because Russian distinguishes between:

• если = if in the sense of a condition
• ли = whether/if in an indirect question

So:

• Я не помню, видела ли я... = I don’t remember whether I saw...
• Если я увижу сумку, я скажу. = If I see the bag, I’ll say so.

English uses if for both ideas, but Russian usually does not.

Because the subordinate clause has its own subject, and Russian naturally includes it:

• Я не помню, видела ли я...

The second я helps make the clause complete and clear.

It can sometimes be omitted if the meaning is obvious, but in this sentence keeping it is the most natural choice. Also, after ли, it is very common to state the subject explicitly.

Because видеть is imperfective, and here Russian is talking about general experience: whether the speaker has ever seen this bag before.

• видела = had seen / have seen / saw at some point
• увидела = saw suddenly, caught sight of, managed to see once

In this sentence, the idea is not one single moment of noticing the bag, but rather past familiarity or prior encounter, so видела is the better choice.

Because Russian does not have a tense exactly like the English present perfect.

English:

• I don’t remember if I have seen this bag before.

Russian:

• Я не помню, видела ли я эту сумку раньше.

Russian simply uses the past tense, and words like раньше plus context show that the action happened before now.

All three can relate to place, but they are not exactly the same.

• где-либо = anywhere, rather formal or bookish
• где-нибудь = anywhere / somewhere, very common in everyday speech
• где-то = somewhere, usually suggesting there probably was some place, even if you don’t know exactly where

In your sentence, где-либо sounds correct but somewhat formal. In normal conversation, many speakers would more naturally say:

Я не помню, видела ли я где-нибудь эту сумку раньше.

Because видеть takes a direct object, and the direct object here is in the accusative case.

Base form:

• эта сумка = this bag (nominative)

In the sentence:

• эту сумку = accusative singular

The changes are:

• эта → эту
• сумка → сумку

So the sentence literally contains this bag as the object of saw.

Here раньше means before, earlier, or previously.

In this sentence, it refers to any time before now:

• видела ли я ... раньше = whether I had seen ... before

It often appears near the end of the sentence, as it does here, but its position can vary.

Because everything after the comma is a subordinate clause:

• Я не помню = main clause
• видела ли я где-либо эту сумку раньше = subordinate clause

Russian normally separates this kind of clause with a comma, especially when it is introduced by ли.

Yes, Russian word order is flexible, but not all versions sound equally natural.

The given sentence is perfectly normal:

Я не помню, видела ли я где-либо эту сумку раньше.

You could also hear variants such as:

• Я не помню, видела ли я эту сумку где-нибудь раньше.
• Я не помню, видела ли я раньше эту сумку где-нибудь.

The meaning stays similar, but the emphasis shifts slightly. One important point is that ли still normally stays right after the word it belongs to, usually the verb here:

• видела ли я...

Overall, it is mostly neutral, but где-либо makes it sound a bit more formal or written than everyday speech.

A more conversational version would often be:

Я не помню, видела ли я где-нибудь эту сумку раньше.

So the grammar is completely normal, but one word choice gives it a slightly more polished tone.