It seems like it will get colder from evening to morning.
It appears as if the temperature will drop between evening and morning.
にかけて - from ~~ to ~~ , between ~~ and ~~
夜から朝にかけて - from evening to morning
1時から3時にかけて - between 1 to 3 o’clock
~~みたい - it seems like, it appears as if, apparently
これらはニュースとかどっかで聞いた案内
下がっていくみたい - seems like it will drop
彼は行くみたい - apparently he is going
気温 - temperature
気温を下がるの場合は”temperature”はいらない。it will get colder (寒くなる)で大丈夫です
It looks like the temperature is going to keep dropping till the morning.
According to the weather forecast it will continue to get colder and colder throughout the night.
1) It looks like the temperature is going to keep dropping till the morning.
「朝まで気温が下がり続けるようだ。」
The temperature is going to keep dropping で「気温が下がり続ける」
2) According to the weather forecast it will continue to get colder and colder throughout the night.
「天気予報によると、夜通しどんどん冷え込むようだ。」
according to the weather forecast で「天起予報によると」
get colder and colder 「どんどん冷え込む」
throughout the night で「夜通し」
ご参考になれば幸いです！
イギリス 
日本 
