One way to correct it would be:

After the passage of the Intolerable Acts, the other colonies supported Boston.

There are many correct statements that would be connected to the Intolerable Acts and the reaction of the other colonies -- it just depends on how specific and detailed you want to be.

For example, you could simply say that "The other colonies strongly supported Boston after the passage of the Intolerable Acts."

If you wanted to be more specific, you could say "The other colonies supported Boston so much that flags were flown at half mast when the Boston Port Act went into effect and various other colonies sent food to Boston to help Bostonians get by."

If you want to look at the big picture, you could even say "The other colonies were so united in their opposition to the Intolerable Acts that they called the Continental Congress that started meeting in 1774."

All of these are true statements and are related to the statement that you gave.