Nowadays, technology has becaome indispensable for everyone either child or old people-young and old.

To cConnecting with world today is highextremely easy and can be done quickly done with the help of technology.

Alternately ". . . with the aid of technology."

Of course, mobile phones, computers and other devices help to build a great[meaningful] connections between people around the world.

Also, technology makes many things easy even though some times. Moreover, its can became a source of entertainment moreover when we use to use itechnology to entertain ourselves.

This sentence is a bit confusing in what it's trying to convey. "Even though" is used to contrast two things, but it's not obvious what is being contrasted. I assume that you want to convey that technology makes things fast and easy to do, but it can also be distracting which can lower productivity. In that case, I would phrase it to say:

Even though technology makes our lives more convenient and easier, it can also be distracting especially when we use it to entertain ourselves.

In summary, technology makes easy many things, previously that were once hard to complete easy to do.

Nowadays, technology has becaome indispensable for everyone, eitherven child or old peopleren and the elderly.

To connect with the world today is highly easvery quickly and quickeasily done with the help of technology.

The standard order here is "quick and easy" or since we're doing adverbs here, "quickly and easily".

Of course, mobile phones, computers and otherssimilar help to build a great connection between people around the world.

Others is more natural when used for people rather than things.

Also, technology makes many things easy even though some times its can became more of a source of entertainment moreover when we use to use technology to entertain ourselves.

In sum, technology makes easy many things, easy that were previously hard to complete.

Nowadays, technology has becaome indispensable for everyone either child or old people, from children to the elderly.

"from X to Y" is a common grammatical structure used to show that something encompasses a wide range of elements.

To cConnecting with the rest of the world today is highextremely easy and can be quickly done with the help of technology.

Of course, mobile phones, computers and others technology help to build a great connectionnetwork between people around the world.

"network" is a collection of connections. It might be the better choice here.

Also, technology makes many things easy even though. Morever, it can some times its can becaome a source of entertainment moreover when we use to use technology to entertain ourselves.

The use of "even though" seems inappropriate here. "even though" serves to introduce a contrasting idea, but I don't see how technology making things easy and being a source of entertainment are necessarily contrasting. Perhaps you meant that technology can be a distraction when used for entertainment, in which case you must make mention of the fact.

I also omitted "when we use ... technology to entertain ourselves" because it is redundant. You'd already mentioned that technology can become a source of entertainment. Of course, this only happens when we use it for entertainment.

In sum, technology makes easy many things, that were previously hard to complete.

"makes easy many things" is perfectly correct, but is a rather advanced grammatical structure because it changes the typical subject-verb-object order. If you meant to use it, great job! It's a cool structure for sure. Alternatively, you can write "technology makes many things easy", as you have done before.

Nowadays, technology has becaome indispensable for everyone ei, whether child or oeld peopleerly.

To connect with the world today is highlvery easily and quickly done with the help of technology.

highly is unnatural here, but maybe not 'definitely' wrong. easy is adjective, easily is adverb

Also, technology makes many things easy even though some times its can becaome a source of entertainment moreover, especially when we use to use technology to entertain ourselves.

Not exactly sure what you mean with this sentence, but moreover is isn't used that way

In sum, technology makes easy many things, which were previously hard to complete.

Nowadays, technology has becaome indispensable for everyone either them being children or old people.

To connect with the world today is high, it is really easy and can be quickly done with the help of technology.

Also, technology makes many things easyier, even though some times, its can becaome a source of entertainment m. Moreover, when we use toe use technology to entertain ourselves.

InTo summarize, technology makes easy many things, easier that were previously hard to complete.