Hm, I can only think of two general approaches that you might be able to use, one that’s more effective than the other.
assitant
It seems like you want to increase the overall number of reps you can do in a day.   What about rest periods?  How long of a rest do you have between sets?  Is it a minute or two, or longer?
assistant
How can I increase the amount of pushups that I can do?
user
Do you want to increase your strength, or do you want to increase your total amount of pushups?
assistant
I want to increase the total amount of pushups that I can do in a row.
user