Solution 1:

Effective is a common choice, or you may use the (slightly more highbrow) efficacious:

capable of or successful in producing an intended result; effective as a means, remedy, etc

I do not believe "efficate" would be well-understood.

Solution 2:

Conventionally, the adjectival form of efficacy is 'efficacious'. The adverb would be 'efficaciously'.