The lasIn recent years T, technology bhas become a part of many things in our lifeves.

Technology doesn't need to be capitalised unless it is at the beginning of a sentence.

"In recent years" is just more natural than "The last years"

the Technology makes the life morlife easier and faster.

"easier" and "faster" already mean "more easy" and "more fast", you don't need a "more" before those words.

sStudents can improve theyir level by watching educational videos , and finding the information more quickly.

"their" (posessive, it's their level) instead of "they"

"watching" is like watch, but actively doing the action.

You could also write "skills" or "knowledge" instead of level, but level makes sense.

Technology also allows to cucommounication with others in, at any time and any wherplace.

"to communicate" or "communication" would work here. "anywhere" would also work, but "place" is more natural.

"at any time and any place" works, but "at any time and place" or "at any time or place" is better.

and tThere are also many fields Ttechnology helps us in it, like: business, entertainment, etct .

"etc" is short for etcetera, so it would be written like that rather than "ect" (don't worry, I used to make the same mistake)

You could write it as "There are also many fields technology helps us in, e.g. business, entertainment, etc." or "There are also many fields technology helps us in, like business, entertainment, etc." either works

Technology makes our lifeves better in several field s, and we can't imagine our lifeves without it .

I'm assuming "our" refers to humanity as a whole. You would make "life" plural then, changing it into "lives".

the Technology makes the life morlife easier and faster.

If you have “er” at the end of “easier” and “faster”, no need to say “more” before.

students can improve theyir level by watching educational videos , and can find the information more quickly.

Technology also allows students to cuommounicate with others in any time and any where.

and there are many fields Ttechnology helps us in it, like: business, entertainment, etct .

Technology makes our life better in several field s, and we can't imagine our lifeves without it .

The lasIn recent years T, technology bhas become a part of many things in our life.ves.

In english, nouns should be spelled in small case. Only the first word of a sentence or names should be capitalised.

the Technology makes the life morlife easier and faster.

sStudents can improve they levelir understanding by watching educational videos , and find theing information more quickly.

"level" should express something more specific, so it does not fit good in this general context.

Technology also allows one to cuommounicate with others inat any time and in any wherplace.

and there are many fields Technology help us in it like:It could contribute to many different fields, such as business, and entertainment, ect .

You can use "it" so that it's more natural. It is also clear what "it" is referring to from your previous sentences.

Technology make our life better in several field has improved our lives in many ways, and we can't imagine our life without it .