What are the rules behind the usage of the word "את" in modern Hebrew?
"Tips and notes
We have already met the direct object connector: "אֵת"(et).
It is counted as a preposition and we use it to mark a direct object (the receiver of an action). It appears when there is a definite article attached to the noun (i.e. "the" - "ה").
In some cases the word "ה" is not necessary to express a specific direct object, for example, nouns related to family members (mom, dad, sister, brother etc.), people's names. That's because family members are usually specified (a guy will usually have one mother and one father).
"אני אוהב את אמא שלי" - I love my mom. "אני אוהב את טל" - I love Tal."
basically if the object of a verb has 'definite' status (that is, if it a specific person or has the article 'ha-' in front of it), et is put in front of the object. it's a little like the personal a (el leon come a la abeja vs. ha-ariah okhel et ha-dvorah; pretend in this case that the bee would take a personal a).