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Hii Archit.
I will mention some laws that I always follow when dealing with modifier problems.
1) Modifiers such as the one crossed above bears no significance in the sentence i.e. it is given the least priority. These type of modifiers are called Non-Essential modifiers.Consider an example: Abraham Lincoln, who was a black president of US, was murdered. In this sentence, does being black bears any significance to the sentence. No! you just don't have to consider this. In order to remove the complexity of the sentences that include modifiers, you can safely cross of the modifier. No worries.
let me give you few more examples:
i)The car, which is painted black, is a product of the sister company of Volks Wagon.
ii) Steve Jobs, who founded Apple inc, died in 2012.

BUT you can't do this with Essential modifiers. NO CRISS-CROSS in Essential Modifiers.
Essential Modifiers are those which are necessary for the sentence and are given equal importance.
Consider:
i) The car that has been painted black is a product of the sister company of Volks Wagon.
I hope you get the difference.

2) Don't put two long modifiers before or after a noun.

3) Modifiers can't modify across "and", "but" etc.

4) "Being" on GMAT is not always Incorrect, but make sure that "being" is not placed at the start of the modifier.

5) Placing a noun after a comma, followed by a modifier of that noun, is a great way to describe an idea from the preceding clause. This structure is known as Absolute Phrase.

6) Keep the modifiers as close as possible to the words they modify.

Hope That helps.

Let me know if anything remains unclear.