Consider the Lexis diagram below:

In order to achieve this under the current version, I use the following code:
age_start = 15
lexis_grid(year_start = 2018,
year_end = 2026,
age_start = age_start,
age_end = 23,
lwd = .1,
delta= 1) %>%
lexis_cohort(2004 + age_start)
In order for this plot to display correctly, I need to add age_start to the cohort parameter of lexis_cohort. This behavior is unexpected.