You haven't told us what your data frames are called, but let's call them men and women. As long as they both have exactly the same columns (including names), you can do:
library(tidyverse)
men %>% 
  mutate(Sex = "Men") %>%
  bind_rows(women %>% mutate(Sex = "Women")) %>%
  pivot_longer(c("DK", "SE", "NO")) %>%
  ggplot(aes(Year, value, colour = name)) +
  geom_line() +
  facet_grid(Sex~.) +
  theme_light()

Created on 2022-04-22 by the reprex package (v2.0.1)
Made up data with same structure as question data
set.seed(1)
men <- data.frame(Year = 1995:2022,
           DK = 35 + cumsum(rnorm(28)),
           SE = 40 + cumsum(rnorm(28)),
           NO = 38 + cumsum(rnorm(28)))
women <- data.frame(Year = 1995:2022,
           DK = 35 + cumsum(rnorm(28)),
           SE = 40 + cumsum(rnorm(28)),
           NO = 38 + cumsum(rnorm(28)))