- The situation was going irritating at that time.
- I am starting eating my breakfast now.
Are these statements correct? Can I use two -ing words together? Can you explain by giving few more examples?
Are these statements correct? Can I use two -ing words together? Can you explain by giving few more examples?
There is no rule forbidding two -ing forms close or next to each other if the idiom requires it.
We're going fishing/hunting/dancing.
However, most speakers avoid using similar constructions close to each other, except when they are deliberately emphasizing a parallelism. Consequently, your second example would usually employ a different construction:
I'm starting to eat my breakfast now.
The pressure is not so strong in your first example, however, since irritating has today the status of an independent adjective. It has been, as the linguists say, ‘deverbalized’, so it is not perceived as a present participle. “The situation was getting irritating” would not be strenuously avoided.
Two gerunds cannot be put together when they both function as verb inflections:
I am starting *eating | to eat my breakfast.
If a gerund functions as a genuine noun, then another gerund can be put in front of it it, if that gerund functions as another noun, adjective, or verb inflection:
Starting running again after many months of inactivity is difficult. [verb-ing + noun]
The leaking plumbing was repaired. [adjective + noun]
The marketing meeting went well. [noun + noun]
The two examples you gave are not correct as written. They should be:
There doesn't appear to be a consistent rule for two "-ing" words in a row, based on these examples.